Titlebook: Numerical Mathematics and AdvancedApplications - ENUMATH 2013; Proceedings of ENUMA Assyr Abdulle,Simone Deparis,Marco Picasso Conference p

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Lecture Notes in Computational Science and Engineeringhttp://image.papertrans.cn/n/image/669029.jpg

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https://doi.org/10.1007/978-3-319-10705-9Optics, electromagnetic theory; fluid mechanics; mechanics of deformable solids; numerical analysis; sci

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Energy-Corrected Finite Element Methods for Scalar Elliptic Problemsetical developments in energy corrected approaches and demonstrate numerically that by local and easy to implement modifications of the discrete operators, optimal convergence orders in weighted Sobolev norms can be recovered.

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On the Local Mesh Size of Nitsche’s Method for Discontinuous Material Parameters automatically adapts to the changing material parameters and mesh sizes. With continuous parameters, the method compares to the classical Nitsche’s method. With large discontinuity, the method approaches assigning Dirichlet boundary conditions with Nitsche’s method.

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Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equationsion reaction equations. We propose an efficient algorithm to solve the sparse linear systems iteratively arising from the discretized nonlinear equations. Numerical examples demonstrate the effectiveness of the DGAFEM to damp the spurious oscillations for the convection dominated nonlinear equations.

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1439-7358 l Mathematics and Advanced Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an overview of recent developments in numerical analysis, computational mathematics and applications from leading experts in the field. New results on finite element methods, multiscale m

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Conference proceedings 2015UMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an overview of recent developments in numerical analysis, computational mathematics and applications from leading experts in the field. New results on finite element methods, multiscale methods, numerical linear algebra and discre

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Robust Local Flux Reconstruction for Various Finite Element Methods the normal fluxes. It turns out that the multipliers can be computed locally and are next used to define local corrections of the flux. We also show that the DG solution and reconstructed flux with stabilisation parameter . converge uniformly in . with the convergence rate 1∕. towards the CG or NC ones, depending on the stabilisation.

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On the Use of Reconstruction Operators in Discontinuous Galerkin Schemesrease in accuracy of the DG scheme which is cheaper than directly using standard DG schemes of very high orders. We discuss the reconstruction operators and their construction, the relation to DG and present numerical experiments which demonstrate the increased accuracy of this approach.

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Harmonic Complete Flux Schemes for Conservation Laws with Discontinuous Coefficientsion laws with discontinuous diffusion matrix/coefficient and show that the (matrix) harmonic average should be employed in the expressions for the numerical fluxes. The vectorial harmonic complete flux schemes are validated for a test problem.