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Creators/Authors contains: "Cesmelioglu, Aycil"

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  1. ; ; ; (, Computers mathematics with applications)
    We introduce and analyze a coupled hybridizable discontinuous Galerkin/discontinuous Galerkin (HDG/DG) method for porous media in which we allow fully and partly immersed faults, and faults that separate the domain into two disjoint subdomains. We prove well-posedness and present an a priori error analysis of the discretization. Numerical examples verify our analysis. 
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    Free, publicly-accessible full text available December 15, 2026
  2. ; ; (, ESAIM: Mathematical Modelling and Numerical Analysis)
    In this paper we present a hybridizable discontinuous Galerkin method for the time-dependent Navier–Stokes equations coupled to the quasi-static poroelasticity equationsviainterface conditions. We determine a bound on the data that guarantees stability and well-posedness of the fully discrete problem and provea priorierror estimates. A numerical example confirms our analysis. 
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  3. ; ; ; (, Computers & Mathematics with Applications)
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  4. ; ; (, ESAIM: Mathematical Modelling and Numerical Analysis)
    We present a strongly conservative and pressure-robust hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem. We show existence and uniqueness of a solution and present an optimala priorierror analysis for the fully discrete problem when using Backward Euler time stepping. The theoretical results are verified by numerical examples. 
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  5. ; ; (, Journal of Scientific Computing)
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  6. ; ; (, Computers & Mathematics with Applications)
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