Martin Costabel

6.6k total citations · 1 hit paper
91 papers, 4.0k citations indexed

About

Martin Costabel is a scholar working on Computational Theory and Mathematics, Mechanics of Materials and Computational Mechanics. According to data from OpenAlex, Martin Costabel has authored 91 papers receiving a total of 4.0k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Computational Theory and Mathematics, 44 papers in Mechanics of Materials and 37 papers in Computational Mechanics. Recurrent topics in Martin Costabel's work include Advanced Mathematical Modeling in Engineering (47 papers), Numerical methods in engineering (41 papers) and Advanced Numerical Methods in Computational Mathematics (35 papers). Martin Costabel is often cited by papers focused on Advanced Mathematical Modeling in Engineering (47 papers), Numerical methods in engineering (41 papers) and Advanced Numerical Methods in Computational Mathematics (35 papers). Martin Costabel collaborates with scholars based in France, Germany and United States. Martin Costabel's co-authors include Monique Dauge, Ernst P. Stephan, Annalisa Buffa, Serge Nicaise, Dongwoo Sheen, Zohar Yosibash, Frédérique Le Louër, C. Schwab, Roland Duduchava and Vincent J. Ervin and has published in prestigious journals such as Computer Methods in Applied Mechanics and Engineering, Mathematics of Computation and SIAM Journal on Numerical Analysis.

In The Last Decade

Martin Costabel

87 papers receiving 3.5k citations

Hit Papers

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What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Boundary Integral Operators on Lipschitz Domains: Elementary Results

1988 598 citations Martin Costabel profile →

Peers

Countries citing papers authored by Martin Costabel

Since Specialization

Citations

This map shows the geographic impact of Martin Costabel's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Martin Costabel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Martin Costabel more than expected).

Fields of papers citing papers by Martin Costabel

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Martin Costabel. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Martin Costabel. The network helps show where Martin Costabel may publish in the future.

Co-authorship network of co-authors of Martin Costabel

This figure shows the co-authorship network connecting the top 25 collaborators of Martin Costabel. A scholar is included among the top collaborators of Martin Costabel based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Martin Costabel. Martin Costabel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	On the limit Sobolev regularity for Dirichlet and Neumann problems on Lipschitz domains 2017 ·arXiv (Cornell University) ·Martin Costabel	8
2	Volume integral equations for electromagnetic scattering in two dimensions 2015 ·Computers & Mathematics with Applications ·Martin Costabel, (unknown), (unknown)	9
3	Weighted analytic regularity in polyhedra 2013 ·Computers & Mathematics with Applications ·Martin Costabel, Monique Dauge, Serge Nicaise	11
4	The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body 2012 ·Comptes Rendus Mathématique ·Martin Costabel, (unknown), (unknown)	28
5	Potential maps and Hardy spaces on special Lipschitz domains 2010 ·arXiv (Cornell University) ·Martin Costabel, Alan McIntosh, Robert Taggart	1
6	Circular edge singularities for the Laplace equation and the elasticity system in 3-D domains 2010 ·International Journal of Fracture ·Zohar Yosibash, (unknown), Monique Dauge, Martin Costabel	10
7	Volume and surface integral equations for electromagnetic scattering by a dielectric body 2009 ·Journal of Computational and Applied Mathematics ·Martin Costabel, (unknown), (unknown)	34
8	Exponential convergence of hp-FEM for Maxwell\'s equations with weighted regularization in polygonal domains 2004 ·Kagoshima Kenritsu Tanki Daigaku Chiiki Kenkyūjo kenkyū nenpō ·Martin Costabel, Monique Dauge, C. Schwab	1
9	Anisotropic regularity results for Laplace and Maxwell operators in a polyhedron 2003 ·Comptes Rendus Mathématique ·Annalisa Buffa, Martin Costabel, Monique Dauge	16
10	The spline collocation method for parabolic boundary integral equations on smooth curves 2003 ·Numerische Mathematik ·Martin Costabel, Jukka Saranen	3
11	On traces for H(curl,Ω) in Lipschitz domains 2002 ·Journal of Mathematical Analysis and Applications ·Annalisa Buffa, Martin Costabel, Dongwoo Sheen	230
12	A singularly perturbed mixed boundary value problem 1996 ·Communications in Partial Differential Equations ·Martin Costabel, Monique Dauge	27
13	Boundary value problems and integral equations in nonsmooth domains : proceedings of the conference at the CIRM, Luminy 1995 ·M. Dekker eBooks ·Martin Costabel, Monique Dauge, Serge Nicaise	1
14	Quadrature and Collocation Methods for the Double Layer Potential on Polygons 1993 ·Zeitschrift für Analysis und ihre Anwendungen ·Martin Costabel, Vincent J. Ervin, Ernst P. Stephan	1
15	Singularités d'arêtes pour les problèmes aux limites elliptiques 1992 ·French digital mathematics library (Numdam) ·Martin Costabel, Monique Dauge	2
16	A coercive bilinear form for Maxwell's equations 1991 ·Journal of Mathematical Analysis and Applications ·Martin Costabel	151
17	Experimental convergence rates for various couplings of boundary and finite elements 1991 ·Mathematical and Computer Modelling ·Martin Costabel, Vincent J. Ervin, Ernst P. Stephan	15
18	On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons 1987 ·Mathematics of Computation ·Martin Costabel, Ernst P. Stephan	17
19	On the convergence of collocation methods for boundary integral equations on polygons 1987 ·Mathematics of Computation ·Martin Costabel, Ernst P. Stephan	43
20	On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain 1983 ·OpenGrey (Institut de l'Information Scientifique et Technique) ·Martin Costabel, Ernst P. Stephan, Wolfgang L. Wendland	28

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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