An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension

DOI10.1007/s10444-016-9460-5zbMath1357.65271OpenAlexW2313679019MaRDI QIDQ503488

John S. Lowengrub, Xiaoming Zheng

Publication date: 12 January 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-016-9460-5

zbMATH Keywords

convergencetumor growthcurvaturesurface tensionStokes equationslevel-set methodadaptive meshfree interface problemsDarcy's equationselliptic equations with jump conditionsinterface-fitted

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Finite element methods applied to problems in fluid mechanics (76M10) Cell movement (chemotaxis, etc.) (92C17)

Related Items (9)

ANALYSIS OF GHOST-FLUID METHOD WITH CUBIC EXTRAPOLATION FOR TWO-POINT BOUNDARY VALUE PROBLEM ⋮ Tumor growth towards lower extracellular matrix conductivity regions under Darcy's law and steady morphology ⋮ Immersed virtual element methods for elliptic interface problems in two dimensions ⋮ A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems ⋮ Gradient recovery for elliptic interface problem. III: Nitsche's method ⋮ Local radial basis function collocation method for Stokes equations with interface conditions ⋮ Immersed boundary method with irrotational discrete delta vector for droplet simulations of large density ratio ⋮ The Shortley-Weller scheme for variable coefficient two-point boundary value problems and its application to tumor growth problem with heterogeneous microenvironment ⋮ Gradient Recovery for Elliptic Interface Problem: I. Body-Fitted Mesh

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