Titlebook: Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018; Gabriel R. Barrenechea,John Mackenzie Conference proceedings

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Jordi Mogas-Recalde,Ramon Palaupe of current research by John et al. (Comput Vis Sci 19(5–6):1–17, 2018). In particular, parameter robust a posteriori error estimates for quantities of physical interest and adaptive mesh refinement strategies with proved convergence are still missing. Here, we study numerically the potential of t

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Smart Innovation, Systems and Technologiesh non-constant and highly oscillatory coefficients. In the spirit of least squares FE methods (Bochev and Gunzburger, Least-Squares Finite Element Methods, vol 166, Springer Science & Business Media, Berlin, 2009), the AVS-FE method recasts the governing second order partial differential equation (P

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https://doi.org/10.1007/978-981-16-3930-2 literature a variety of such approximation spaces, which are usually restricted to standard element geometry: triangular, quadrilateral, hexahahedral, tetrahedral, or prismatic meshes. We describe the principles in the construction of more general .(div)-conforming contexts, the meshes allowing non

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Maria Perifanou,Anastasios A. Economidesis paper presents first steps of a systematic study of solvers for these problems. Two basic fixed point iterations and a formal Newton method are considered. It turns out that the fixed point iterations behave often quite differently. Using a sparse direct solver for the linear problems, one of the

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Work, Play, and Civic Engagementr attention on the nature of the singularity in the solution, caused by an incompatibility between the initial and boundary conditions. We use an analytical/numerical approach to approximate the discontinuous solution. This consists of subtracting from the solution an explicit analytical function, w

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