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Titlebook: Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications; In Honor of Professo Oleg P. Iliev,Svetoz

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楼主: breath-focus
发表于 2025-3-28 18:37:48 | 显示全部楼层
Robust Algebraic Multilevel Preconditioners for Anisotropic Problems,arize the convergence analysis of both linear and nonlinear AMLI methods for finite element discretizations by conforming and nonconforming linear elements and by conforming quadratic elements. The initially proposed hierarchical basis approach leads to robust multilevel algorithms for linear but no
发表于 2025-3-28 19:32:43 | 显示全部楼层
A Weak Galerkin Mixed Finite Element Method for Biharmonic Equations,introduced by two of the authors (J. Wang and X. Ye) in (Wang et al., Comput. Appl. Math. 241:103–115, 2013) for second-order elliptic problems, is based on the concept of .. The method uses completely discrete finite element functions, and, using certain discrete spaces and with stabilization, it w
发表于 2025-3-28 23:57:14 | 显示全部楼层
Domain Decomposition Scheme for First-Order Evolution Equations with Nonselfadjoint Operators,tructing non-iterative method based on special schemes of splitting into subdomains. Such regional-additive schemes are based on the general theory of additive operator-difference schemes. Domain decomposition analogues of the classical schemes of alternating direction method, locally one-dimensiona
发表于 2025-3-29 06:29:19 | 显示全部楼层
发表于 2025-3-29 09:35:24 | 显示全部楼层
Structures and Waves in a Nonlinear Heat-Conducting Medium,the open nonlinear heat-conducting medium, described by a reaction–diffusion equation. Being posed and actively worked out by the Russian school of A.A. Samarskii and S.P. Kurdyumov since the seventies of the last century, this problem still contains open and challenging questions.
发表于 2025-3-29 13:54:45 | 显示全部楼层
发表于 2025-3-29 18:11:57 | 显示全部楼层
A Finite Volume Element Method for a Nonlinear Parabolic Problem,We study a finite volume element discretization of a nonlinear parabolic equation in a convex polygonal domain. We show the existence of the discrete solution and derive error estimates in ..- and ..-norms. We also consider a linearized method and provide numerical results to illustrate our theoretical findings.
发表于 2025-3-29 20:03:22 | 显示全部楼层
Efficient Parallel Algorithms for Unsteady Incompressible Flows,The objective of this paper is to give an overview of recent developments on splitting schemes for solving the time-dependent incompressible Navier–Stokes equations and to discuss possible extensions to the variable density/viscosity case. A particular attention is given to algorithms that can be implemented efficiently on large parallel clusters.
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