Search Results - domain decomposition for initial value and initial-boundary value problems involving PDEs*

MIXED INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIC LINEAR HYPERBOLIC EQUATIONS by SHULMAN, HAROLD

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FINITE-ELEMENT METHODS FOR SOLVING INITIAL-BOUNDARY VALUE PROBLEMS by HOUSTIS, ELIAS NICHOLAOS

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Mixed Boundary Value Problems for Nonlinear Elliptic Systems withp-Structure in Polyhedral Domains by Ebmeyer, Carsten

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A non-overlapping domain decomposition method for parabolic initial-boundary value problems by Lube, G., Otto, F.C., Müller, H.

“…A non-overlapping domain decomposition method with adaptive interface conditions is applied to parabolic initial-boundary value problems in the full range from diffusion- to advection-dominated problems…”
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Probabilistically induced domain decomposition methods for elliptic boundary-value problems by Acebrón, Juan A., Busico, Maria Pia, Lanucara, Piero, Spigler, Renato

“…Monte Carlo as well as quasi-Monte Carlo methods are used to generate only few interfacial values in two-dimensional domains where boundary-value elliptic problems are formulated…”
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A domain decomposition method for linear exterior boundary value problems by Gatica, G.N., Hernandez, E.C., Mellado, M.E.

“… We first use a Dirichlet-to-Neumann mapping, derived from boundary integral equation methods, to transform the exterior problem into an equivalent mixed boundary value problem on a bounded domain…”
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On Schwarz's domain decomposition methods for elliptic boundary value problems by Lai, Ming-Jun, Wenston, Paul

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Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems by Garbey, Marc, Kaper, Hans G.

“…A heterogeneous domain-decomposition method is presented for the numerical solution of singularly perturbed elliptic boundary value problems…”
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Iterative leap-field domain decomposition method: a domain decomposition finite element algorithm for 3D electromagnetic boundary value problems by Ozgun, O., Kuzuoglu, M.

“…The authors introduce the iterative leap-field domain decomposition method that is tailored to the finite element method, by combining the concept of domain decomposition and the Huygens' Principle…”
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On the numerical solution of singular two‐point boundary value problems: A domain decomposition homotopy perturbation approach by Roul, Pradip

“…‐point singular boundary value problems arising in science and engineering. The essence of the approach is to split the domain of the problem into a number of nonoverlapping subdomains…”
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Forward backward domain decomposition method for finite element solution of electromagnetic boundary value problems by Ozgun, Ozlem, Kuzuoglu, Mustafa

“…We introduce the forward–backward domain decomposition method (FB‐DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains, for electromagnetic boundary value problems…”
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Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition by Bertoluzza, Silvia

“… the Lagrange multiplier method for imposing the Dirichlet boundary conditions. We consider both the case of smooth domains and, in view of an application in the framework of domain decomposition, the case of polygonal domains…”
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Domain Decomposition Spectral Method for Mixed Inhomogeneous Boundary Value Problems of High Order Differential Equations on Unbounded Domains by Zhang, Chao, Guo, Ben-yu

“…In this paper, we develop domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations defined on unbounded domains…”
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A meshfree method with domain decomposition for Helmholtz boundary value problems by Valtchev, Svilen S.

“…In the framework of meshfree methods, we address the numerical solution of boundary value problems (BVP…”
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Numerical solution of nonlinear differential boundary value problems using adaptive non-overlapping domain decomposition method by Naceur, Nahed, Khenissi, Moez, Roche, Jean R.

“…This work aims is to study a nonlinear second-order boundary value differential elliptic problem in one dimension where the nonlinearity concerns the solution and its first derivative…”
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A pretraining domain decomposition method using artificial neural networks to solve elliptic PDE boundary value problems by Seo, Jeong-Kweon

“…Developing methods of domain decomposition (DDM) has been widely studied in the field of numerical computation to estimate solutions of partial differential equations (PDEs…”
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Analysis and preconditioning of a probabilistic domain decomposition algorithm for elliptic boundary value problems by Bernal, Francisco, Morón-Vidal, Jorge

“…PDDSparse is a new hybrid parallelisation scheme for solving large-scale elliptic boundary value problems on supercomputers, which can be described as a Feynman-Kac formula for domain decomposition…”
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Solution of the Exterior Boundary Value Problem for the Helmholtz Equation Using Overlapping Domain Decomposition by Petukhov, A. V., Savchenko, A. O.

“… The method is based on an overlapping decomposition of the external domain and on the Schwarz alternating method with the successive solution of the interior and exterior boundary value problem…”
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Method for computational domain decomposition without intersection of subdomains for boundary-value problems by Sveshnikov, V. M.

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Analysis and Preconditioning of a Probabilistic Domain Decomposition Algorithm for Elliptic Boundary Value Problems by Bernal, Francisco, Morón-Vidal, Jorge

“… PDDSparse is a novel, recently introduced parallelisation paradigm for solving large-scale elliptic boundary value problems on supercomputers, which can be described as a Feynman-Kac formula for domain decomposition…”
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