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
A relaxed weak Galerkin method for elliptic interface problems with low regularity
Sign Up to like & getrecommendations! Published in 2018 at "Applied Numerical Mathematics"
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
Meshless analysis of elliptic interface boundary value problems
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DOI: 10.1016/j.enganabound.2017.07.008
Abstract: Abstract In the present paper, Multiquadric radial basis function (MQ RBF) and its integrated form are used to construct collocation methods for numerical solution of two-dimensional elliptic problems with curved or closed interface. The main… read more here.
Keywords: meshless analysis; analysis; interface boundary; analysis elliptic ... 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