Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization
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DOI: 10.1007/s10543-019-00782-3
Abstract: This paper concerns the accuracy of Galerkin finite element approximations to two types of shape gradients for eigenvalue optimization. Under certain regularity assumptions on domains, a priori error estimates are obtained for the two approximate… read more here.
Keywords: finite element; gradients eigenvalue; galerkin finite; eigenvalue optimization ... See more keywords
Optimal-order finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions
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DOI: 10.1016/j.apnum.2020.10.022
Abstract: Abstract We analyze finite element approximations to variable-coefficient two-sided space-fractional advection-reaction-diffusion equations in three space dimensions. It is known that the corresponding bilinear form may lose coercivity due to the variable diffusivity coefficient. We prove… read more here.
Keywords: finite element; space; approximations variable; element approximations ... See more keywords