A numerical method for solving three-dimensional elliptic interface problems with triple junction points
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9539-7
Abstract: Elliptic interface problems with multi-domains have wide applications in engineering and science. However, it is challenging for most existing methods to solve three-dimensional elliptic interface problems with multi-domains due to local geometric complexity, especially for… read more here.
Keywords: three dimensional; dimensional elliptic; multi domains; interface problems ... See more keywords
Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems
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DOI: 10.1007/s10915-017-0532-6
Abstract: In this paper, we introduce a class of high order immersed finite volume methods (IFVM) for one-dimensional interface problems. We show the optimal convergence of IFVM in $$H^1$$H1- and $$L^2$$L2-norms. We also prove some superconvergence… read more here.
Keywords: immersed finite; volume methods; interface problems; finite volume ... See more keywords
Stabilized Lagrange multiplier method for elliptic and parabolic interface problems
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.05.011
Abstract: Abstract In this paper, we discuss a new stabilized Lagrange multiplier method for finite element solution of multi-domain elliptic and parabolic initial-boundary value problems with non-matching grid across the subdomain interfaces. The proposed method is… read more here.
Keywords: lagrange multiplier; interface problems; elliptic parabolic; multiplier method ... See more keywords
A relaxed weak Galerkin method for elliptic interface problems with low regularity
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DOI: 10.1016/j.apnum.2018.01.021
Abstract: A new relaxed weak Galerkin (WG) stabilizer has been introduced for second order elliptic interface problems with low regularity solutions. The stabilizer is generalized from the weak Galerkin method of Wang and Ye by using… read more here.
Keywords: interface problems; method; regularity; relaxed weak ... See more keywords
A stable generalized finite element method (SGFEM) of degree two for interface problems
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DOI: 10.1016/j.cma.2020.112889
Abstract: Abstract Generalized or Extended Finite Element Methods (GFEM/XFEM) of degree 1 for interface problems have been reported in the literature; they (i) yield optimal order of convergence, i.e., O ( h ) ( h is… read more here.
Keywords: finite element; order; interface problems; gfem xfem ... See more keywords
Enriched -Conforming Methods for Elliptic Interface Problems with Implicit Jump Conditions
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DOI: 10.1155/2018/9891281
Abstract: We develop a numerical method for elliptic interface problems with implicit jumps. To handle the discontinuity, we enrich usual -conforming finite element space by adding extra degrees of freedom on one side of the interface.… read more here.
Keywords: problems implicit; jump conditions; interface problems; implicit jump ... See more keywords
Optimal Order Error Estimates of a Modified Nonconforming Rotated Q1 IFEM for Interface Problems
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DOI: 10.1155/2020/2081948
Abstract: This paper presents a new numerical method and analysis for solving second-order elliptic interface problems. The method uses a modified nonconforming rotated immersed finite element (IFE) space to discretize the state equation required in the… read more here.
Keywords: order; order error; interface problems; modified nonconforming ... See more keywords
The conundrum of the psychological interface: On the problems of bridging the biological and the social
Sign Up to like & getrecommendations! Published in 2022 at "History of the Human Sciences"
DOI: 10.1177/09526951211070503
Abstract: In this article, we consider how certain types of contemporary biosocial psychiatric research conceptualise and explicate biology-social relations. We compare the historic biopsychosocial model to recent examples of social defeat research on schizophrenia and cultural… read more here.
Keywords: conundrum psychological; psychological interface; interface; psychiatric research ... See more keywords