Transmission problems for parabolic operators on polygonal domains and applications to the finite element method

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic systems (35K45) Second-order parabolic equations (35K10)

Cites Work

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Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system
Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds
Interface and mixed boundary value problems on \(n\)-dimensional polyhedral domains
Analysis of the finite element method for transmission/mixed boundary value problems on general polygonal domains
The first boundary value problem for classical equations of mathematical physics in domains with partially smooth boundaries. I
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Maximal regularity of parabolic transmission problems
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LNG_FEM: Graded Meshes on Domains of Polygonal Structures
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Singularities of Maxwell interface problems
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On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries
Regularity Properties of Solutions to Transmission Problems
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General interface problems—II
Estimates for elliptic systems from composite material
Crack Singularities for General Elliptic Systems
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Hölder estimates for parabolic operators on domains with rough boundary
Parabolic-hyperbolic transmission problem in disjoint domains
Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
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Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra II: Mesh Refinements and Interpolation

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