Domain decomposition methods in a geometrical multiscale domain using finite volume schemes
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DOI: 10.1002/fld.4788
Abstract: The heat equation is solved by using a finite volume discretization in a domain that consists of a two‐dimensional central node and several one‐dimensional outgoing branches. Several interface connection options to match the submodels set… read more here.
Keywords: finite volume; domain; using finite; decomposition methods ... See more keywords
On the numerical solution of singular two-point boundary value problems: A domain decomposition homotopy perturbation approach
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DOI: 10.1002/mma.4536
Abstract: This paper reports a modified homotopy perturbation algorithm, called the domain decomposition homotopy perturbation method (DDHPM), for solving two-point singular boundary value problems arising in science and engineering. The essence of the approach is to… read more here.
Keywords: homotopy perturbation; two point; decomposition homotopy; domain decomposition ... See more keywords
A novel domain decomposition method for coupled semilinear elliptic equation
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DOI: 10.1002/mma.7415
Abstract: This study presents a new framework to solve the coupled semilinear elliptic equation by the domain decomposition algorithm. Unlike the traditional domain decomposition algorithm, the coupled semilinear elliptic equation doesn't need to be solved directly.… read more here.
Keywords: semilinear elliptic; decomposition; elliptic equation; coupled semilinear ... See more keywords
A parallel scalable domain decomposition preconditioner for elastic crack simulation using XFEM
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6973
Abstract: In this article, a parallel overlapping domain decomposition preconditioner is proposed to solve the linear system of equations arising from the extended finite element discretization of elastic crack problems. The algorithm partitions the computational mesh… read more here.
Keywords: crack; decomposition preconditioner; elastic crack; domain decomposition ... See more keywords
How to make continuum solvation incredibly fast in a few simple steps: A practical guide to the domain decomposition paradigm for the conductor-like screening model
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DOI: 10.1002/qua.25669
Abstract: We illustrate the domain decomposition Conductor-like Screening Model (ddCOSMO) implementation and how to couple it with an existing classical or quantum mechanical (QM) code. We review in detail what input needs to be provided to… read more here.
Keywords: like screening; conductor like; domain decomposition; screening model ... See more keywords
Nonlinear domain decomposition scheme for sequential fully implicit formulation of compositional multiphase flow
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DOI: 10.1007/s10596-019-09848-1
Abstract: New sequential fully implicit (SFI) methods for compositional flow simulation have been recently investigated. These SFI schemes decouple the fully coupled problem into separate pressure and transport problems and have convergence properties comparable with those… read more here.
Keywords: sequential fully; domain decomposition; nonlinear domain; fully implicit ... See more keywords
Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity
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DOI: 10.1007/s10596-021-10091-w
Abstract: We develop non-overlapping domain decomposition methods for the Biot system of poroelasticity in a mixed form. The solid deformation is modeled with a mixed three-field formulation with weak stress symmetry. The fluid flow is modeled… read more here.
Keywords: system poroelasticity; biot system; decomposition; domain decomposition ... See more keywords
A Domain Decomposition Fourier Continuation Method for Enhanced $$L_1$$L1 Regularization Using Sparsity of Edges in Reconstructing Fourier Data
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DOI: 10.1007/s10915-017-0467-y
Abstract: Abstract$$L_1$$L1 regularization is widely used in various applications for sparsifying transform. In Wasserman et al. (J Sci Comput 65(2):533–552, 2015) the reconstruction of Fourier data with $$L_1$$L1 minimization using sparsity of edges was proposed—the sparse… read more here.
Keywords: fourier data; domain decomposition; method; regularization ... See more keywords
Domain Decomposition Methods for Domain Composition Purpose: Chimera, Overset, Gluing and Sliding Mesh Methods
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DOI: 10.1007/s11831-016-9198-8
Abstract: Domain composition methods (DCM) consist in obtaining a solution to a problem, from the formulations of the same problem expressed on various subdomains. These methods have therefore the opposite objective of domain decomposition methods (DDM).… read more here.
Keywords: domain decomposition; level; domain composition; composition ... See more keywords
Conservative domain decomposition schemes for solving two-dimensional heat equations
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DOI: 10.1007/s40314-019-0767-y
Abstract: In this paper, by combining the operator splitting technique, a new mass-conserved domain decomposition method for two-dimensional heat equations is proposed. Along the each direction, the interface fluxes are first calculated from the explicit fluxes,… read more here.
Keywords: two dimensional; heat equations; dimensional heat; domain decomposition ... See more keywords
A linear domain decomposition method for partially saturated flow in porous media
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.01.029
Abstract: Abstract The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded Lipschitz domain partitioned into two disjoint subdomains… read more here.
Keywords: scheme; porous media; flow porous; domain decomposition ... See more keywords