A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering [PDF]
, 2021 In this paper, a type of full multigrid method is proposed to solve non-selfadjoint Steklov eigenvalue problems. Multigrid iterations for corresponding selfadjoint and positive definite boundary value problems generate proper iterate solutions that are ...
Manting Xie, Fei Xu, Meiling Yue
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An extension of the Cayley transform method for a parameterized generalized inverse eigenvalue problem [PDF]
, 2020 [EN] Since recent studies have shown that the Cayley transform method can be an effective iterative method for solving the inverse eigenvalue problem, in this work, we consider using an extension of it for solving a type of parameterized generalized ...
Hajarian, Masoud +4 more
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Fast iterative solvers for PDE-constrained optimization problems [PDF]
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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Convex Relaxations for Graph and Inverse Eigenvalue Problems [PDF]
, 2020 This thesis is concerned with presenting convex optimization based tractable solutions for three fundamental problems: 1. Planted subgraph problem: Given two graphs, identifying the subset of vertices of the larger graph corresponding to the smaller ...
Candogan, Utkan Onur
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Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
, 2007 Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
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Inverse iteration for nonlinear eigenvalue problems in electromagnetic scattering [PDF]
, 2003 We present an extension of the well-known method of 'inverse iteration' for the standard eigenvalue problem to the nonlinear problem of finding dispersion relations for electromagnetic waves moving through a doublyperiodic structure.
Poulton, CG, Spence, A
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Robust a priori and a posteriori error analysis for the approximation of Allen–Cahn and Ginzburg–Landau equations past topological changes [PDF]
, 2010 A priori and a posteriori error estimates are derived for the numerical approximation of scalar and complex valued phase field models. Particular attention is devoted to the dependence of the estimates on a small parameter and to the validity of the ...
Rüdiger Müller +11 more
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Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition [PDF]
, 2023 In this paper we present the inverse problem of determining a time dependent heat source in a two-dimensional heat equation accompanied with Dirichlet–Neumann–Wentzell boundary conditions.
Türk, Önder, Ismailov, Mansur I.
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Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]
, 2006 Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
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A systematic linear space approach to solving partially described inverse eigenvalue problems [PDF]
, 2008 Most applications of the inverse eigenvalue problem (IEP), which concerns the reconstruction of a matrix from prescribed spectral data, are associated with special classes of structured matrices.
Li, Haujun, Hu, Sau-Lon James
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