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Stabilized cut disc...
Stabilized cut discontinuous Galerkin methods for advection–reaction problems on surfaces
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- Ulfsby, Tale Bakken (författare)
- Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway,Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway.
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- Massing, André, 1977- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway,Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway.;Umeå Univ, Dept Math & Math Stat, SE-90187 Umeå, Sweden.
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- Sticko, Simon (författare)
- Uppsala universitet,Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Information Technology, Uppsala University, Box 337, Uppsala, Sweden,Avdelningen för beräkningsvetenskap,Umeå Univ, Dept Math & Math Stat, SE-90187 Umeå, Sweden.
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Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway Norwegian Univ Sci & Technol, Dept Math Sci, NO-7491 Trondheim, Norway (creator_code:org_t)
- Elsevier, 2023
- 2023
- Engelska.
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Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier. - 0045-7825 .- 1879-2138. ; 413
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Abstract
Ämnesord
Stäng
- We develop a novel cut discontinuous Galerkin (CutDG) method for stationary advection–reaction problems on surfaces embedded in Rd. The CutDG method is based on embedding the surface into a full-dimensional background mesh and using the associated discontinuous piecewise polynomials of order k as test and trial functions. As the surface can cut through the mesh in an arbitrary fashion, we design a suitable stabilization that enables us to establish inf-sup stability, a priori error estimates, and condition number estimates using an augmented streamline-diffusion norm. The resulting CutDG formulation is geometrically robust in the sense that all derived theoretical results hold with constants independent of any particular cut configuration. Numerical examples support our theoretical findings.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Advection–reaction problems
- Cut finite element method
- Discontinuous Galerkin
- Surface PDE
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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