Suchergebnisse - boundary element methods for initial value AND initial-boundary value problems involving press~

Solvability of a Riemann–Liouville-Type Fractional-Impulsive Differential Equation with a Riemann–Stieltjes Integral Boundary Condition.

Autoren: Zhang, Keyu O'Regan, Donal Xu, Jiafa

Quelle: Fractal & Fractional; May2025, Vol. 9 Issue 5, p323, 18p

Schlagwörter: BOUNDARY value problems, EXISTENCE theorems, DIFFERENTIAL equations, BOUNDARY element methods, LINEAR operators

A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation: A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation

Autoren: Teng, Fei Luo, Zhendong

Quelle: Advances in Applied Mathematics and Mechanics. 13:355-377

Schlagwörter: Extrapolation to the limit, deferred corrections, viscoelastic wave equation, highly efficient reduced-order extrapolating model, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, 01 natural sciences, natural boundary element, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Boundary element methods applied to problems in fluid mechanics, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Viscoelastic fluids, numerical experiments, Finite element methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7409119
https://doi.org/10.4208/aamm.oa-2019-0351

Numerical implementation of boundary element method for determining aerodynamic characteristics around airfoil system by viscous media.

Autoren: Xu, Ke Yue, Peng Liu, Qiang et al.

Quelle: AIP Advances; May2020, Vol. 10 Issue 5, p1-6, 6p

Schlagwörter: BOUNDARY element methods, AEROFOILS, INITIAL value problems, BOUNDARY value problems, VISCOUS flow, FLUID flow, SINGULAR integrals

The natural integral equation for initial boundary value problems of parabolic equation and its numerical implementation

Autoren: Du, Qikui Yu, Dehao

Schlagwörter: numerical examples, Fourier expansion, Heat equation, exterior circular domain, linear heat equation, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, boundary element method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1421690

The Cauchy problem for Laplace's equation via the conjugate gradient method

Autoren: Dinh Nho Hào Daniel Lesnic

Quelle: IMA Journal of Applied Mathematics. 65:199-217

Schlagwörter: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, conjugate gradient method, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, ill-posed problem, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1539259
https://doi.org/10.1093/imamat/65.2.199
https://ui.adsabs.harvard.edu/abs/2000JApMa..65..199H/abstract
http://imamat.oxfordjournals.org/content/65/2/199.abstract
https://academic.oup.com/imamat/article/65/2/199/643434

A representation formula for the wave equation revisited.

Autoren: Hsiao, George C. Weinacht, Richard J.

Quelle: Applicable Analysis; Feb2012, Vol. 91 Issue 2, p371-380, 10p

Schlagwörter: WAVE equation, MATHEMATICAL formulas, GREEN'S functions, BOUNDARY value problems, INITIAL value problems, BOUNDARY element methods

Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem.

Autoren: Slodička, M. Lesnic, D. Onyango, T.T.M.

Quelle: Inverse Problems in Science & Engineering; Jan2010, Vol. 18 Issue 1, p65-81, 17p, 3 Graphs

Schlagwörter: HEAT transfer, HEAT conduction, BOUNDARY element methods, INVERSE problems, BOUNDARY value problems

The coupling of natural boundary element and finite element method for 2D hyperbolic equations.

Autoren: Yu, Dehao Du, Qikui

Schlagwörter: numerical examples, hyperbolic equation, convergence, boundary element, finite element, Poisson integral formula, exterior initial boundary value problems, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order hyperbolic equations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, artificial boundary, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, natural boundary reduction

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1998921

Partial elements equivalent circuit modeling of distributed and lumped time-varying dielectric phenomena.

Autoren: Romano D Pettanice G Stumpf M et al.

Quelle: Scientific reports [Sci Rep] 2025 Nov 28. Date of Electronic Publication: 2025 Nov 28.

Publikationsart: Journal Article

Info zur Zeitschrift: Publisher: Nature Publishing Group Country of Publication: England NLM ID: 101563288 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 2045-2322 (Electronic) Linking ISSN: 20452322 NLM ISO Abbreviation: Sci Rep Subsets: MEDLINE

Mathematical modelling and numerical simulation of induction heating processes

Autoren: Rappaz, Jacques Świerkosz, Marek Sokołowski, Jan - ed.

Weitere Verfasser: Rappaz, Jacques Świerkosz, Marek Sokołowski, Jan - ed.

Schlagwörter: Technical applications of optics and electromagnetic theory, axisymmetric geometries, Applications to the sciences, sterowanie, numerical simulation, informatyka, sterowanie-teoria, matematyka stosowana, sztuczna inteligencja, PDEs in connection with optics and electromagnetic theory, induction heating, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, boundary element method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1045563

Boundary element analysis for a class of multidimensional linear parabolic equations

Autoren: Du, Qikui

Schlagwörter: Error bounds for initial value and initial-boundary value problems involving PDEs, boundary element, error estimates, Heat equation, boundary integral equations, linear heat conduction equations, Initial value problems for second-order parabolic equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, linear parabolic equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/818533

Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries.

Autoren: Johnsen, J. Hansen, S. Munch Sickel, W.

Quelle: Mathematische Nachrichten; Aug2015, Vol. 288 Issue 11/12, p1327-1359, 33p

Schlagwörter: HEAT equation, ANISOTROPIC crystals, PARABOLIC differential equations, BOUNDARY value problems, BOUNDARY element methods

Modelamiento de problemas de radiación/dispersión electromagnética mediante el método de elementos finitos ; Modeling of electromagnetic radiation/scattering problems using the finite element method

Autoren: Ríos Casas, Julián Andrés Osorio Lema, Mauricio Andrés Camargo Mazuera, Liliana Marcela

Weitere Verfasser: Ríos Casas, Julián Andrés Osorio Lema, Mauricio Andrés Camargo Mazuera, Liliana Marcela

Schlagwörter: 510 - Matemáticas, Ecuaciones de Maxwell, Teoria de electromagnetismo, Espacios discretos, Elementos finitos abstractos, Formulación variacional, Análisis algebraico, Theory of electromagnetism, Discreet spaces, Abstract finite elements, Variational formulation, Algebraic analysis, Maxwell equations

Dateibeschreibung: application/pdf

Relation: N. Matthew and O. Sadiku, “Elementos de electromagnetismo,” España, Crítica, 2003.; W. Cai, “Numerical methods for Maxwell’s equations in inhomogeneous media with material interfaces,” Journal of Computational Mathematics, pp. 156–167, 2004.; K. Yee, “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media,” IEEE Transactions on antennas and propagation, vol. 14, no. 3, pp. 302–307, 1966; J. C. Nédélec, “A new family of mixed finite elements in Rˆ3,” Numerische Mat- hematik, vol. 50, no. 1, pp. 57–81, 1986.; M. Olm, S. Badia, and A. Martín, “On a general implementation of h- and p-adaptive curl-conforming finite elements,” Advances in Engineering Software, vol. 132, pp. 74–91, 06 2019.; P. Monk et al., Finite element methods for Maxwell’s equations. Oxford University Press, 2003.; G. Gatica, Introducción al análisis funcional: teoría y aplicaciones. Reverté.; R. Kress, Linear integral equations. Applied Mathematical Sciences 82, Springer New York, 2 ed., 1999.; W. McLean, Strongly elliptic systems and boundary integral equations. Cambridge University Press, 1 ed., 2000.; V. Girault and P. A. Raviart, Finite element methods for Navier - Stokes equations: theory and algorithms. Springer Series in Computational Mathematics, Springer - Verlag, 1986.; J. Necas, “Les méthodes directes en théorie des équations elliptiques,” 1967.; S. Brenner and R. Scott, The mathematical theory of finite element methods, vol. 3. Springer Science & Business Media, 1994.; P. G. Ciarlet, The finite element method for elliptic problems, vol. 4. North - Holland, 1978.; L. Chen, “Finite element methods for Maxwell equations,” Lecture Notes, 2016.; J. C. Nédélec, “Mixed finite elements in rˆ3,” Numerische Mathematik, vol. 35, no. 3, pp. 315–341, 1980.; C. Amrouche, C. Bernardi, M. Dauge, and V. Girault, “Vector potentials in three- dimensional non-smooth domains,” Mathematical Methods in the Applied Sciences, vol. 21, no. 9, pp. 823–864, 1998.; Z. Chen, Q. Du, and J. Zou, “Finite element methods with matching and nonmat- ching meshes for Maxwell equations with discontinuous coefficients,” SIAM Journal on Numerical Analysis, vol. 37, no. 5, pp. 1542–1570, 2000.; P. Jacobsson, “Nédélec elements for computational electromagnetics,” 2007.; J. H. Bramble, J. E. Pasciak, and J. Xu, “The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms,” Mathematics of Computation, vol. 56, no. 193, pp. 1–34, 1991.; A. Kirsch and P. Monk, “A finite element/spectral method for approximating the time-harmonic Maxwell system in Rˆ3,” SIAM Journal on Applied Mathematics, vol. 55, no. 5, pp. 1324–1344, 1995.; S. Caorsi, P. Fernandes, and M. Raffetto, “On the convergence of Galerkin fini- te element approximations of electromagnetic eigenproblems,” SIAM Journal on Numerical Analysis, vol. 38, no. 2, pp. 580–607, 2000.; D. Colton and R. Kress, “Inverse acoustic and electromagnetic scattering theory,”; R. Leis, “Initial boundary value problems in mathematical physics,” Tubner, 1986.; G. Hsiao, P. Monk, and N. Nigam, “Error analysis of a finite element - Integral equation scheme for approximating the time - harmonic Maxwell system,” SIAM journal on numerical analysis, vol. 40, no. 1, pp. 198–219, 2002.; B. López Rodríguez and M. Osorio, “Seminario sobre elementos finitos,” Lecture Notes, 2018.; C. Bahriawati and C. Carstensen, “Three MATLAB implementations of the lowest- order Raviart - Thomas MFEM with a posteriori error control,” Computational Methods in Applied Mathematics Comput. Methods Appl. Math., vol. 5, no. 4, pp. 333–361, 2005.; O. C. Zienkiewicz and R. L. Taylor, The finite element method: solid mechanics, vol. 2. Butterworth - Heinemann, 2000.; S. Nicaise, “Edge elements on anisotropic meshes and approximation of the Maxwell equations,” SIAM Journal on Numerical Analysis, vol. 39, no. 3, pp. 784–816, 2001.; L. Camargo, B. López-Rodrıguez, M. Osorio, and M. Solano, “An HDG method for Maxwell’s equations in heterogeneous media,”; D. Boffi, “A note on the de-Rham complex and a discrete compactness property,” Applied mathematics letters, vol. 14, no. 1, pp. 33–38, 2001.; D. Boffi, F. Brezzi, and L. Gastaldi, “On the convergence of eigenvalues for mixed formulations,” Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, vol. 25, no. 1-2, pp. 131–154, 1997.; D. Boffi, F. Brezzi, and L. Gastaldi, “On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form,” Mathematics of compu- tation, vol. 69, no. 229, pp. 121–140, 2000.; https://repositorio.unal.edu.co/handle/unal/78407

Verfügbarkeit: https://repositorio.unal.edu.co/handle/unal/78407

The fast multipole method for the symmetric boundary integral formulation.

Autoren: Of, G. Steinbach, O. Wendland, W.L.

Quelle: IMA Journal of Numerical Analysis; Apr2006, Vol. 26 Issue 2, p272-296, 25p

Schlagwörter: BOUNDARY element methods, NUMERICAL analysis, HARMONIC functions, PARTIAL differential equations, INTEGRAL operators, INTEGRALS

Exponential mesh approximations for a 3D exterior problem in magnetic induction

Autoren: Mefire, Séraphin M.

Schlagwörter: error estimates, magnetic induction, Numerical methods in optics, mesh approximation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, exterior problem

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2162934

Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations: Convergence analysis of a BDF finite element method for the resistive magnetohydrodynamic equations

Autoren: Ma, Lina Wang, Cheng Xia, Zeyu

Quelle: Advances in Applied Mathematics and Mechanics. 17:633-662

Schlagwörter: unconditional energy stability, optimal error estimates, resistive MHD equations, finite element methods, BDF decoupled scheme, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis: An upwind-block-centered multistep difference method for a semiconductor device and numerical analysis

Autoren: Yuan, Yirang Li, Changfeng Song, Huailing

Quelle: Advances in Applied Mathematics and Mechanics. 17:706-731

Schlagwörter: Finite difference methods for boundary value problems involving PDEs, Statistical mechanics of semiconductors, Finite difference methods for initial value and initial-boundary value problems involving PDEs, numerical computation, local conservation of mass, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, upwind block-centered multistep difference, three-dimensional semiconductor device, convergence analysis

Dateibeschreibung: application/xml

An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow: An energy stable local discontinuous Galerkin method for a binary compressible flow

Autoren: Sun, Hui Tian, Lulu Guo, Hui

Quelle: Advances in Applied Mathematics and Mechanics. 17:888-908

Schlagwörter: binary compressible flow, Error bounds for initial value and initial-boundary value problems involving PDEs, Crank-Nicolson time integration method, energy-stable, local discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Comparison of Sharp and Diffuse Interface Methods for Radially Symmetric Compressible Multi-Medium Fluid Flows: Comparison of sharp and diffuse interface methods for radially symmetric compressible multi-medium fluid flows

Autoren: Zhang, Xiaotao Liu, Tiegang Zhang, Fan et al.

Quelle: Advances in Applied Mathematics and Mechanics. 17:407-439

Schlagwörter: sharp interface methods, modified ghost fluid method, five-equation transport model, \(\gamma\)-based model, multi-medium compressible flow, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, diffuse interface methods, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs

Dateibeschreibung: application/xml

Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method: Deep learning-based computational method for soft matter dynamics: deep Onsager-Machlup method

Autoren: Li, Zhihao Zou, Boyi Wang, Haiqin et al.

Quelle: Communications in Computational Physics. 37:353-382

Schlagwörter: Onsager-Machlup functional, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Deep learning, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Irreversible thermodynamics, including Onsager-Machlup theory, Condensed Matter - Soft Condensed Matter, Neural networks for/in biological studies, artificial life and related topics, variational method, soft matter dynamics, Artificial neural networks and deep learning

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2308.14513
https://zbmath.org/8033880
https://doi.org/10.4208/cicp.oa-2023-0294