Results 11 to 20 of about 101 (99)
Electromagnetic Wave Scattering by Small Impedance Particles of an Arbitrary Shape and Applications [PDF]
Challenges, 2014 The proposal deals with electromagnetic (EM) wave scattering by one and many small impedance particles of an arbitrary shape. Analytic formula is derived for EM wave scattering by one small impedance particle of an arbitrary shape and an integral ...
Alexander G. Ramm
doaj +2 more sources
Extended local convergence for Newton-type solver under weak conditions [PDF]
, 2021 We present the local convergence of a Newton-type solver for equations involving Banach space valued operators. The eighth order of convergence was shown earlier in the special case of the k−dimensional Euclidean space, using hypotheses up to the eighth ...
SENAPATI, Kedarnath +2 more
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A virtual volume method for heterogeneous and anisotropic diffusion-reaction problems on general meshes. [PDF]
, 2017 International audienceStarting from the recently introduced virtual element method, we construct new diffusion fluxes in two and three dimensions that give birth to symmetric, unconditionally coercive finite volume like schemes for the discretization of ...
Julien Coatléven, Coatléven, Julien
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International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 251-284, 2001., 2001 The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrix A = M1 − N1 = M2 − N2.
Zbigniew I. Woźnicki
wiley +1 more source
Stable finite element methods for the Stokes problem
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 10, Page 699-714, 2000., 2000 The mixed finite element scheme of the Stokes problem with pressure stabilization is analyzed for the cross‐grid Pk − Pk−1elements, k ≥ 1, using discontinuous pressures. The Pk+−Pk−1 elements are also analyzed. We prove the stability of the scheme using the macroelement technique.
Yongdeok Kim, Sungyun Lee
wiley +1 more source
A convergence result for discreet steepest decent in weighted sobolev spaces
Abstract and Applied Analysis, Volume 2, Issue 1-2, Page 67-72, 1997., 1997 A convergence result is given for discrete descent based on Sobolev gradients arising from differential equations which may be expressed as quadratic forms. The argument is an extension of the result of David G. Luenberger on Euclidean descent and compliments the work of John W. Neuberger on Sobolev descent.
W. T. Mahavier
wiley +1 more source
A 3D Reaction-Diffusion System Describing Bidomain Calcium Dynamics in Cardiac Cell [PDF]
, 2019 International audienceWe are interested in modeling the interaction of calcium dynamics in a medium including sarcolemma and sarcoplasmic reticulum. The governing equations consist of a nonlinear reaction-diffusion system representing the various calcium
Karami, Fahd +5 more
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Results in Applied MathematicsIn this piece of work, a family of compact implicit numerical algorithms for (∂u/∂n) of order of accuracy six are proposed on a 9- and 19-point compact cell for two- and three- dimensional Poisson equations ∆2u=f which are quite often useful in ...
R.K. Mohanty, Niranjan
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Advances in Mathematical PhysicsMSC2020 Classification: 35B25, 65M06 ...
Mousa J. Huntul, Imiru Takele Daba
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.Numerical solutions for second‐order parabolic partial differential equations (PDEs), specifically the nonlinear heat equation, are investigated with a focus on analyzing residual corrections. Initially, the Galerkin weighted residual method is employed to rigorously formulate the heat equation and derive numerical solutions using third‐degree ...
Md. Shafiqul Islam +3 more
wiley +1 more source