A simple and efficient adaptive time stepping technique for low‐order operator splitting schemes applied to cardiac electrophysiology
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Biomedical Engineering"
DOI: 10.1002/cnm.3670
Abstract: We present a simple, yet efficient adaptive time stepping scheme for cardiac electrophysiology (EP) simulations based on standard operator splitting techniques. The general idea is to exploit the relation between the splitting error and the… read more here.
Keywords: time; operator splitting; adaptive time; time step ... See more keywords
A Second-Order Operator Splitting Fourier Spectral Method for Models of Epitaxial Thin Film Growth
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DOI: 10.1007/s10915-016-0340-4
Abstract: In this paper, we develop an operator splitting Fourier spectral method for models of epitaxial thin film growth with and without slope selection. A main idea of the method is to split the original equation… read more here.
Keywords: fourier spectral; splitting fourier; method; spectral method ... See more keywords
Three-operator splitting algorithm for a class of variational inclusion problems
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00312-5
Abstract: This paper concerns with a new three-operator splitting algorithm for solving a class of variational inclusions. The main advantage of the proposed algorithm is that it can be easily implemented without the prior knowledge of… read more here.
Keywords: operator splitting; class variational; three operator; splitting algorithm ... See more keywords
Comparison of operator splitting schemes for the numerical solution of the Allen-Cahn equation
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DOI: 10.1063/1.5126651
Abstract: In this paper, we have analyzed the first- and second-order operator splitting schemes for the numerical solution of the Allen-Cahn equation. Different possibilities are considered for the derivation of the schemes. The numerical errors are… read more here.
Keywords: splitting schemes; numerical solution; solution allen; allen cahn ... See more keywords
Decentralized Dual Operator Splitting for Nonsmooth Composite Optimization
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DOI: 10.1109/tnse.2022.3155287
Abstract: Inspired by the advantages of the decentralized network structure in large-scale data processing and system robustness, this paper considers a fully distributed computation strategy for a nonsmooth composite optimization problem. The goal is to solve… read more here.
Keywords: dual operator; operator splitting; composite optimization; nonsmooth composite ... See more keywords
Fast Corotated FEM using Operator Splitting
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DOI: 10.1111/cgf.13520
Abstract: In this paper we present a novel operator splitting approach for corotated FEM simulations. The deformation energy of the corotated linear material model consists of two additive terms. The first term models stretching in the… read more here.
Keywords: term; fast corotated; operator splitting; corotated fem ... See more keywords