Search Results - boundary element methods for initial value AND initial-boundary value problems involving press
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Source: Fractal & Fractional; May2025, Vol. 9 Issue 5, p323, 18p
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Source: Advances in Applied Mathematics and Mechanics. 13:355-377
Subject Terms: 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
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Source: AIP Advances; May2020, Vol. 10 Issue 5, p1-6, 6p
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Subject Terms: 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
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Access URL: https://zbmath.org/1421690
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Source: IMA Journal of Applied Mathematics. 65:199-217
Subject Terms: 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
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Source: Applicable Analysis; Feb2012, Vol. 91 Issue 2, p371-380, 10p
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Source: Inverse Problems in Science & Engineering; Jan2010, Vol. 18 Issue 1, p65-81, 17p, 3 Graphs
Subject Terms: HEAT transfer, HEAT conduction, BOUNDARY element methods, INVERSE problems, BOUNDARY value problems
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Subject Terms: 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
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Access URL: https://zbmath.org/1998921
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Source: Scientific reports [Sci Rep] 2025 Nov 28. Date of Electronic Publication: 2025 Nov 28.
Publication Type: Journal Article
Journal Info: 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
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Subject Terms: 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
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Access URL: https://zbmath.org/1045563
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Authors: Du, Qikui
Subject Terms: 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
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Access URL: https://zbmath.org/818533
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Source: Mathematische Nachrichten; Aug2015, Vol. 288 Issue 11/12, p1327-1359, 33p
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Subject Terms: 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
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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
Availability: https://repositorio.unal.edu.co/handle/unal/78407
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Source: IMA Journal of Numerical Analysis; Apr2006, Vol. 26 Issue 2, p272-296, 25p
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Authors: Mefire, Séraphin M.
Subject Terms: 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
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Access URL: https://zbmath.org/2162934
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Source: Advances in Applied Mathematics and Mechanics. 17:633-662
Subject Terms: 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
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Source: Advances in Applied Mathematics and Mechanics. 17:706-731
Subject Terms: 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
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Source: Advances in Applied Mathematics and Mechanics. 17:888-908
Subject Terms: 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
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Source: Advances in Applied Mathematics and Mechanics. 17:407-439
Subject Terms: 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
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Source: Communications in Computational Physics. 37:353-382
Subject Terms: 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
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