Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems

• A two-point flux approximation (TPFA) finite volume method is considered for mixed-dimensional fracture flow problems. Its construction is based on applying a face-based quadrature rule to a conforming, mixed finite element scheme of lowest order. A concise argument shows linear convergence in theory, which we confirm in practice by a numerical experiment. 

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

Fracture flow

Mixed finite element

Mixed-dimensional

Two-point flux approximation

Finite volume schemes

Flow problems

Linear convergence

Mixed finite elements

Numerical experiments

Quadrature rules

Two-point

Finite volume method

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