Author: Jean-Pierre Bérenger
Publisher: Springer Nature
ISBN: 3031016963
Category : Technology & Engineering
Languages : en
Pages : 117
Book Description
This lecture presents the perfectly matched layer (PML) absorbing boundary condition (ABC) used to simulate free space when solving the Maxwell equations with such finite methods as the finite difference time domain (FDTD) method or the finite element method. The frequency domain and the time domain equations are derived for the different forms of PML media, namely the split PML, the CPML, the NPML, and the uniaxial PML, in the cases of PMLs matched to isotropic, anisotropic, and dispersive media. The implementation of the PML ABC in the FDTD method is presented in detail. Propagation and reflection of waves in the discretized FDTD space are derived and discussed, with a special emphasis on the problem of evanescent waves. The optimization of the PML ABC is addressed in two typical applications of the FDTD method: first, wave-structure interaction problems, and secondly, waveguide problems. Finally, a review of the literature on the application of the PML ABC to other numerical techniques of electromagnetics and to other partial differential equations of physics is provided. In addition, a software package for computing the actual reflection from a FDTD-PML is provided. It is available here.
Perfectly Matched Layer (PML) for Computational Electromagnetics
Author: Jean-Pierre Bérenger
Publisher: Springer Nature
ISBN: 3031016963
Category : Technology & Engineering
Languages : en
Pages : 117
Book Description
This lecture presents the perfectly matched layer (PML) absorbing boundary condition (ABC) used to simulate free space when solving the Maxwell equations with such finite methods as the finite difference time domain (FDTD) method or the finite element method. The frequency domain and the time domain equations are derived for the different forms of PML media, namely the split PML, the CPML, the NPML, and the uniaxial PML, in the cases of PMLs matched to isotropic, anisotropic, and dispersive media. The implementation of the PML ABC in the FDTD method is presented in detail. Propagation and reflection of waves in the discretized FDTD space are derived and discussed, with a special emphasis on the problem of evanescent waves. The optimization of the PML ABC is addressed in two typical applications of the FDTD method: first, wave-structure interaction problems, and secondly, waveguide problems. Finally, a review of the literature on the application of the PML ABC to other numerical techniques of electromagnetics and to other partial differential equations of physics is provided. In addition, a software package for computing the actual reflection from a FDTD-PML is provided. It is available here.
Publisher: Springer Nature
ISBN: 3031016963
Category : Technology & Engineering
Languages : en
Pages : 117
Book Description
This lecture presents the perfectly matched layer (PML) absorbing boundary condition (ABC) used to simulate free space when solving the Maxwell equations with such finite methods as the finite difference time domain (FDTD) method or the finite element method. The frequency domain and the time domain equations are derived for the different forms of PML media, namely the split PML, the CPML, the NPML, and the uniaxial PML, in the cases of PMLs matched to isotropic, anisotropic, and dispersive media. The implementation of the PML ABC in the FDTD method is presented in detail. Propagation and reflection of waves in the discretized FDTD space are derived and discussed, with a special emphasis on the problem of evanescent waves. The optimization of the PML ABC is addressed in two typical applications of the FDTD method: first, wave-structure interaction problems, and secondly, waveguide problems. Finally, a review of the literature on the application of the PML ABC to other numerical techniques of electromagnetics and to other partial differential equations of physics is provided. In addition, a software package for computing the actual reflection from a FDTD-PML is provided. It is available here.
Perfectly Matched (The Blue Willow Brides Book #3)
Author: Maggie Brendan
Publisher: Revell
ISBN: 1441243119
Category : Fiction
Languages : en
Pages : 334
Book Description
Anna Olsen knows it's time to leave her sister's increasingly crowded house and start a life of her own. Following her sisters' examples, she becomes a mail-order bride, and after a short correspondence with clock maker and jeweler Edward Parker, she moves to Denver to become his wife. Almost immediately it's painfully apparent that Anna and Edward are very different. Anna is a free spirit who would rather be painting and enjoying the company of friends than cleaning house. Edward is a consummate perfectionist who, on their wedding day, hands Anna a list of chores that need to be done around the house daily. Can this mismatched couple see past their differences to a harmonious future? Or will their disparate passions create obstacles neither is willing to surmount? Maggie Brendan closes her Blue Willow Brides series with a heartwarming tale of true love despite misunderstanding, showing readers that God's timing is always perfect.
Publisher: Revell
ISBN: 1441243119
Category : Fiction
Languages : en
Pages : 334
Book Description
Anna Olsen knows it's time to leave her sister's increasingly crowded house and start a life of her own. Following her sisters' examples, she becomes a mail-order bride, and after a short correspondence with clock maker and jeweler Edward Parker, she moves to Denver to become his wife. Almost immediately it's painfully apparent that Anna and Edward are very different. Anna is a free spirit who would rather be painting and enjoying the company of friends than cleaning house. Edward is a consummate perfectionist who, on their wedding day, hands Anna a list of chores that need to be done around the house daily. Can this mismatched couple see past their differences to a harmonious future? Or will their disparate passions create obstacles neither is willing to surmount? Maggie Brendan closes her Blue Willow Brides series with a heartwarming tale of true love despite misunderstanding, showing readers that God's timing is always perfect.
Perfectly Matched: Harbor Falls Romance Collection - Boxed Set
Author: Maddie James
Publisher: Sand Dune Books
ISBN: 1622372662
Category : Fiction
Languages : en
Pages : 1310
Book Description
THE MATCHMAKING CHEF COLLECTION The eight Matchmaking Chef novellas When Suzie Matthews (Bed, Breakfast & You) accidentally cooks up a scene that causes her sister to get back together with her high school boyfriend (Home for the Holidays), she wonders if she can help other singletons living in the small mountain town of Legend, Tennessee find the loves of their lives. Being a matchmaker isn't really on her list of things to do--after all, she has a bed & breakfast to run, cookbooks to write, and a television show on the Food Channel to keep up with. But baking is her thing, and perhaps matchmaking can be her thing, too. After all, there is a song going through her head that goes something like this... Matchbaker, Matchbaker, bake me a match? No wait. Make me a match. Nevermind! You get the picture, right? Welcome to Legend, Tennessee. And welcome to the matchbaking, er, matchmaking world of Chef Suzie Matthews.
Publisher: Sand Dune Books
ISBN: 1622372662
Category : Fiction
Languages : en
Pages : 1310
Book Description
THE MATCHMAKING CHEF COLLECTION The eight Matchmaking Chef novellas When Suzie Matthews (Bed, Breakfast & You) accidentally cooks up a scene that causes her sister to get back together with her high school boyfriend (Home for the Holidays), she wonders if she can help other singletons living in the small mountain town of Legend, Tennessee find the loves of their lives. Being a matchmaker isn't really on her list of things to do--after all, she has a bed & breakfast to run, cookbooks to write, and a television show on the Food Channel to keep up with. But baking is her thing, and perhaps matchmaking can be her thing, too. After all, there is a song going through her head that goes something like this... Matchbaker, Matchbaker, bake me a match? No wait. Make me a match. Nevermind! You get the picture, right? Welcome to Legend, Tennessee. And welcome to the matchbaking, er, matchmaking world of Chef Suzie Matthews.
Perfect Match
Author: Janet Hermans
Publisher: Xulon Press
ISBN: 1600341438
Category : Biography & Autobiography
Languages : en
Pages : 114
Book Description
Publisher: Xulon Press
ISBN: 1600341438
Category : Biography & Autobiography
Languages : en
Pages : 114
Book Description
Perfectly Matched
Author: Heather S. Webber
Publisher: Createspace Independent Publishing Platform
ISBN: 9781477471005
Category : Arson
Languages : en
Pages : 0
Book Description
The heat is on... When Boston psychic Lucy Valentine finds herself involved with a group of eccentric mediums trying to fine tune their abilities, she is convinced a rare spring heat wave has flushed all the local crazies out of hiding. Adding to her theory is her newest client in the Lost Loves division of Valentine, Inc., her family's lucrative matchmaking firm. He's an animal whisperer who hires Lucy to locate his soul mate?because his cat told him so. Finding his purrfect match, however, isn't as easy as it seems. But craziest of all is the Beantown Burner, a serial arsonist who is targeting private eye Sam Donahue, brother of Lucy's boyfriend, Sean. With the help of her kooky psychic group, Lucy must tap into hidden abilities to catch the firebug before the fires turn deadly. She never expected to discover that the motive behind the flames hits a little too close to home...and dangerously close to her heart.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781477471005
Category : Arson
Languages : en
Pages : 0
Book Description
The heat is on... When Boston psychic Lucy Valentine finds herself involved with a group of eccentric mediums trying to fine tune their abilities, she is convinced a rare spring heat wave has flushed all the local crazies out of hiding. Adding to her theory is her newest client in the Lost Loves division of Valentine, Inc., her family's lucrative matchmaking firm. He's an animal whisperer who hires Lucy to locate his soul mate?because his cat told him so. Finding his purrfect match, however, isn't as easy as it seems. But craziest of all is the Beantown Burner, a serial arsonist who is targeting private eye Sam Donahue, brother of Lucy's boyfriend, Sean. With the help of her kooky psychic group, Lucy must tap into hidden abilities to catch the firebug before the fires turn deadly. She never expected to discover that the motive behind the flames hits a little too close to home...and dangerously close to her heart.
Current Trends in Symmetric Polynomials with their Applications
Author: Taekyun Kim
Publisher: MDPI
ISBN: 3039216201
Category : Mathematics
Languages : en
Pages : 238
Book Description
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
Publisher: MDPI
ISBN: 3039216201
Category : Mathematics
Languages : en
Pages : 238
Book Description
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
Dynamic Behavior of Materials, Volume 1
Author: Vijay Chalivendra
Publisher: Springer Science & Business Media
ISBN: 1461442389
Category : Technology & Engineering
Languages : en
Pages : 574
Book Description
Dynamic Behavior of Materials, Volume 1: Proceedings of the 2012 Annual Conference on Experimental and Applied Mechanics represents one of seven volumes of technical papers presented at the Society for Experimental Mechanics SEM 12th International Congress & Exposition on Experimental and Applied Mechanics, held at Costa Mesa, California, June 11-14, 2012. The full set of proceedings also includes volumes on Challenges in Mechanics of Time -Dependent Materials and Processes in Conventional and Multifunctional Materials, Imaging Methods for Novel Materials and Challenging Applications, Experimental and Applied Mechanics, 2nd International Symposium on the Mechanics of Biological Systems and Materials 13th International Symposium on MEMS and Nanotechnology and, Composite Materials and the 1st International Symposium on Joining Technologies for Composites.
Publisher: Springer Science & Business Media
ISBN: 1461442389
Category : Technology & Engineering
Languages : en
Pages : 574
Book Description
Dynamic Behavior of Materials, Volume 1: Proceedings of the 2012 Annual Conference on Experimental and Applied Mechanics represents one of seven volumes of technical papers presented at the Society for Experimental Mechanics SEM 12th International Congress & Exposition on Experimental and Applied Mechanics, held at Costa Mesa, California, June 11-14, 2012. The full set of proceedings also includes volumes on Challenges in Mechanics of Time -Dependent Materials and Processes in Conventional and Multifunctional Materials, Imaging Methods for Novel Materials and Challenging Applications, Experimental and Applied Mechanics, 2nd International Symposium on the Mechanics of Biological Systems and Materials 13th International Symposium on MEMS and Nanotechnology and, Composite Materials and the 1st International Symposium on Joining Technologies for Composites.
Finite Element Modeling Methods for Photonics
Author: B. M. Azizur Rahman
Publisher: Artech House
ISBN: 1608075311
Category : Technology & Engineering
Languages : en
Pages : 265
Book Description
The term photonics can be used loosely to refer to a vast array of components, devices, and technologies that in some way involve manipulation of light. One of the most powerful numerical approaches available to engineers developing photonic components and devices is the Finite Element Method (FEM), which can be used to model and simulate such components/devices and analyze how they will behave in response to various outside influences. This resource provides a comprehensive description of the formulation and applications of FEM in photonics applications ranging from telecommunications, astronomy, and sensing, to chemistry, imaging, and biomedical R&D. This book emphasizes practical, problem-solving applications and includes real-world examples to assist readers in understanding how mathematical concepts translate to computer code for finite element-based methods applicable to a range of photonic structures. In addition, this is the perfect support to anyone using the COMSOL Multiphysics© RF Module.
Publisher: Artech House
ISBN: 1608075311
Category : Technology & Engineering
Languages : en
Pages : 265
Book Description
The term photonics can be used loosely to refer to a vast array of components, devices, and technologies that in some way involve manipulation of light. One of the most powerful numerical approaches available to engineers developing photonic components and devices is the Finite Element Method (FEM), which can be used to model and simulate such components/devices and analyze how they will behave in response to various outside influences. This resource provides a comprehensive description of the formulation and applications of FEM in photonics applications ranging from telecommunications, astronomy, and sensing, to chemistry, imaging, and biomedical R&D. This book emphasizes practical, problem-solving applications and includes real-world examples to assist readers in understanding how mathematical concepts translate to computer code for finite element-based methods applicable to a range of photonic structures. In addition, this is the perfect support to anyone using the COMSOL Multiphysics© RF Module.
Plasma Dynamics for Aerospace Engineering
Author: Joseph J. S. Shang
Publisher: Cambridge University Press
ISBN: 1108317693
Category : Technology & Engineering
Languages : en
Pages : 403
Book Description
This valuable resource summarizes the past fifty years' basic research accomplishments in plasma dynamics for aerospace engineering, presenting these results in a comprehensive volume that will be an asset to any professional in the field. It offers a comprehensive review of the foundation of plasma dynamics while integrating the most recently developed modeling and simulation techniques with the theoretic physics, including the state-of-the-art numerical algorithms. Several first-ever demonstrations for innovations and incisive explanations for previously unexplained observations are included. All the necessary formulations for technical evaluation to engineering applications are derived from the first principle by statistic and quantum mechanics, and led to physics-based computational simulations for practical applications. The computer-aided procedures directly engage the reader to duplicate findings that are nearly impossible by using ground-based experimental facilities. Plasma Dynamics for Aerospace Engineering will allow readers to reach an incisive understanding of plasma physics.
Publisher: Cambridge University Press
ISBN: 1108317693
Category : Technology & Engineering
Languages : en
Pages : 403
Book Description
This valuable resource summarizes the past fifty years' basic research accomplishments in plasma dynamics for aerospace engineering, presenting these results in a comprehensive volume that will be an asset to any professional in the field. It offers a comprehensive review of the foundation of plasma dynamics while integrating the most recently developed modeling and simulation techniques with the theoretic physics, including the state-of-the-art numerical algorithms. Several first-ever demonstrations for innovations and incisive explanations for previously unexplained observations are included. All the necessary formulations for technical evaluation to engineering applications are derived from the first principle by statistic and quantum mechanics, and led to physics-based computational simulations for practical applications. The computer-aided procedures directly engage the reader to duplicate findings that are nearly impossible by using ground-based experimental facilities. Plasma Dynamics for Aerospace Engineering will allow readers to reach an incisive understanding of plasma physics.
Numerical Methods for Exterior Problems
Author: Long'an Ying
Publisher: World Scientific
ISBN: 9812772561
Category : Mathematics
Languages : en
Pages : 282
Book Description
Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposition. 2.9. Boundary perturbation -- 3. Infinite element method. 3.1. Harmonic equation-two dimensional problems. 3.2. General elements. 3.3. Harmonic equation-three dimensional problems. 3.4. Inhomogeneous equations. 3.5. Plane elasticity. 3.6. Bi-harmonic equations. 3.7. Stokes equation. 3.8. Darwin model. 3.9. Elliptic equations with variable coefficients. 3.10. Convergence -- 4. Artificial boundary conditions. 4.1. Absorbing boundary conditions. 4.2. Some approximations. 4.3. Bayliss-Turkel radiation boundary conditions. 4.4. A lower order absorbing boundary condition. 4.5. Liao extrapolation in space and time. 4.6. Maxwell equations. 4.7. Finite difference schemes. 4.8. Stationary Navier-Stokes equations -- 5. Perfectly matched layer method. 5.1. Wave equations. 5.2. Bérenger's perfectly matched layers. 5.3. Stability analysis. 5.4. Uniaxial perfectly matched layers. 5.5. Maxwell equations. 5.6. Helmholtz equations -- 6. Spectral method. 6.1. Introduction. 6.2. Orthogonal systems of polynomials. 6.3. Laguerre spectral methods. 6.4. Jacobi spectral methods. 6.5. Rational and irrational spectral methods. 6.6. Error estimates
Publisher: World Scientific
ISBN: 9812772561
Category : Mathematics
Languages : en
Pages : 282
Book Description
Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposition. 2.9. Boundary perturbation -- 3. Infinite element method. 3.1. Harmonic equation-two dimensional problems. 3.2. General elements. 3.3. Harmonic equation-three dimensional problems. 3.4. Inhomogeneous equations. 3.5. Plane elasticity. 3.6. Bi-harmonic equations. 3.7. Stokes equation. 3.8. Darwin model. 3.9. Elliptic equations with variable coefficients. 3.10. Convergence -- 4. Artificial boundary conditions. 4.1. Absorbing boundary conditions. 4.2. Some approximations. 4.3. Bayliss-Turkel radiation boundary conditions. 4.4. A lower order absorbing boundary condition. 4.5. Liao extrapolation in space and time. 4.6. Maxwell equations. 4.7. Finite difference schemes. 4.8. Stationary Navier-Stokes equations -- 5. Perfectly matched layer method. 5.1. Wave equations. 5.2. Bérenger's perfectly matched layers. 5.3. Stability analysis. 5.4. Uniaxial perfectly matched layers. 5.5. Maxwell equations. 5.6. Helmholtz equations -- 6. Spectral method. 6.1. Introduction. 6.2. Orthogonal systems of polynomials. 6.3. Laguerre spectral methods. 6.4. Jacobi spectral methods. 6.5. Rational and irrational spectral methods. 6.6. Error estimates