On approximation classes for adaptive time-stepping finite element methods

Autor: Marcelo Actis, Pedro Morin, Cornelia Schneider

Publikováno v: IMA Journal of Numerical Analysis.

We study approximation classes for adaptive time-stepping finite element methods for time-dependent partial differential equations. We measure the approximation error in $L_2([0,T)\times \varOmega )$ and consider the approximation with discontinuous

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::defcccc0e313fd8d2886f4af6e1164ed
https://doi.org/10.1093/imanum/drac056

Convective transport in nanofluids: the stationary problem

Autor: Pedro Morin, Eberhard Bänsch, Sara Faghih-Naini

We analyze the existence of solutions to the stationary problem from a mathematical model for convective transport in nanofluids including thermophoretic effects that is very similar to the celebrated model of Buongiorno [6] .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4e81d8a85174a8a935d36bbb5021455
http://arxiv.org/abs/1911.04958

High-Order AFEM for the Laplace–Beltrami Operator: Convergence Rates

Autor: J. Manuel Cascón, Ricardo H. Nochetto, Khamron Mekchay, Andrea Bonito, Pedro Morin

Publikováno v: GREDOS. Repositorio Institucional de la Universidad de Salamanca
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CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET

We present a new AFEM for the Laplace-Beltrami operator with arbitrary polynomial degree on parametric surfaces, which are globally $W^1_\infty$ and piecewise in a suitable Besov class embedded in $C^{1,\alpha}$ with $\alpha \in (0,1]$. The idea is t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3399af40145c38fcf74a1816fde9e702
https://doi.org/10.1007/s10208-016-9335-7

A posteriori error estimates with point sources in fractional sobolev spaces

Autor: Fernando D. Gaspoz, Andreas Veeser, Pedro Morin

Publikováno v: Numerical Methods for Partial Differential Equations. 33:1018-1042

We consider Poisson's equation with a finite number of weighted Dirac masses as a source term, together with its discretization by means of conforming finite elements. For the error in fractional Sobolev spaces, we propose residual-type a posteriori

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::342937aeb87f98924ed031a98924c7e7
https://doi.org/10.1002/num.22065

The shape derivative of the Gauss curvature

Autor: M. Sebastian Pauletti, Pedro Morin, Aníbal Chicco-Ruiz

We introduce new results about the shape derivatives of scalar- and vector-valued functions, extending the results from (Dogan-Nochetto 2012) to more general surface energies. They consider surface energies defined as integrals over surfaces of funct

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe696874d262c4ddd0c81b93401393ed
http://arxiv.org/abs/1708.07440