Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces. (English) Zbl 1504.35152 Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 198, 47 p. (2022). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J57 35Q30 46E35 76M30 PDFBibTeX XMLCite \textit{M. Kohr} et al., Calc. Var. Partial Differ. Equ. 61, No. 6, Paper No. 198, 47 p. (2022; Zbl 1504.35152) Full Text: DOI arXiv
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with \(L_\infty\) tensor coefficient under relaxed ellipticity condition. (English) Zbl 1473.35216 Discrete Contin. Dyn. Syst. 41, No. 9, 4421-4460 (2021). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J57 35Q30 46E35 76M30 76D03 76D05 76D07 PDFBibTeX XMLCite \textit{M. Kohr} et al., Discrete Contin. Dyn. Syst. 41, No. 9, 4421--4460 (2021; Zbl 1473.35216) Full Text: DOI
Hsiao, George C.; Wendland, Wolfgang L. Boundary integral equations. 2nd corrected and expanded edition. (English) Zbl 1477.65007 Applied Mathematical Sciences 164. Cham: Springer (ISBN 978-3-030-71126-9/hbk; 978-3-030-71129-0/pbk; 978-3-030-71127-6/ebook). xx, 783 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-02 65N38 35J25 65N12 31A10 31B10 35C15 35S15 78M15 74S15 76B03 76D07 PDFBibTeX XMLCite \textit{G. C. Hsiao} and \textit{W. L. Wendland}, Boundary integral equations. 2nd corrected and expanded edition. Cham: Springer (2021; Zbl 1477.65007) Full Text: DOI
Kohr, Mirela; Wendland, Wolfgang L. Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds. (English) Zbl 1404.35150 Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 165, 41 p. (2018). Reviewer: Dagmar Medková (Praha) MSC: 35J25 58J05 35Q30 PDFBibTeX XMLCite \textit{M. Kohr} and \textit{W. L. Wendland}, Calc. Var. Partial Differ. Equ. 57, No. 6, Paper No. 165, 41 p. (2018; Zbl 1404.35150) Full Text: DOI
Gutt, Robert; Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. (English) Zbl 1393.35030 Math. Methods Appl. Sci. 40, No. 18, 7780-7829 (2017). Reviewer: Marcelo Furtado (Brasília) MSC: 35J25 42B20 46E35 PDFBibTeX XMLCite \textit{R. Gutt} et al., Math. Methods Appl. Sci. 40, No. 18, 7780--7829 (2017; Zbl 1393.35030) Full Text: DOI arXiv Link
Kohr, Mirela; Medková, Dagmar; Wendland, W. L. On the Oseen-Brinkman flow around an \((m-1)\)-dimensional solid obstacle. (English) Zbl 1380.35078 Monatsh. Math. 183, No. 2, 269-302 (2017). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 35J25 42B20 46E35 76D03 PDFBibTeX XMLCite \textit{M. Kohr} et al., Monatsh. Math. 183, No. 2, 269--302 (2017; Zbl 1380.35078) Full Text: DOI
Kohr, Mirela; Mikhailov, Sergey E.; Wendland, Wolfgang L. Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds. (English) Zbl 1464.58007 J. Math. Fluid Mech. 19, No. 2, 203-238 (2017). MSC: 58J05 35J25 42B20 46E35 35A01 35A02 58C30 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Math. Fluid Mech. 19, No. 2, 203--238 (2017; Zbl 1464.58007) Full Text: DOI arXiv
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. On the Robin-transmission boundary value problems for the nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes systems. (English) Zbl 1343.35088 J. Math. Fluid Mech. 18, No. 2, 293-329 (2016). MSC: 35J25 42B20 46E35 76D05 35Q35 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Math. Fluid Mech. 18, No. 2, 293--329 (2016; Zbl 1343.35088) Full Text: DOI
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Poisson-transmission problems for \(L^\infty\)-perturbations of the Stokes system on Lipschitz domains in compact Riemannian manifolds. (English) Zbl 1381.58008 J. Dyn. Differ. Equations 27, No. 3-4, 823-839 (2015). MSC: 58J05 35J25 35B30 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Dyn. Differ. Equations 27, No. 3--4, 823--839 (2015; Zbl 1381.58008) Full Text: DOI
Groşan, Teodor; Kohr, Mirela; Wendland, Wolfgang L. Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains. (English) Zbl 1336.35138 Math. Methods Appl. Sci. 38, No. 17, 3615-3628 (2015). MSC: 35J25 76D05 35Q30 PDFBibTeX XMLCite \textit{T. Groşan} et al., Math. Methods Appl. Sci. 38, No. 17, 3615--3628 (2015; Zbl 1336.35138) Full Text: DOI
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\). (English) Zbl 1323.35031 Z. Angew. Math. Phys. 66, No. 3, 833-864 (2015). Reviewer: Dagmar Medková (Praha) MSC: 35J57 76D99 76M99 PDFBibTeX XMLCite \textit{M. Kohr} et al., Z. Angew. Math. Phys. 66, No. 3, 833--864 (2015; Zbl 1323.35031) Full Text: DOI
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. Nonlinear Darcy-Forchheimer-Brinkman system with linear Robin boundary conditions in Lipschitz domains. (English) Zbl 1354.35031 Aliev Azeroǧly, Tahir (ed.) et al., Complex analysis and potential theory with applications. Selected papers of the 9th congress of the International Society for Analysis, Applications, and Computation (ISAAC), Cracow, Poland, August 5–9, 2013. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-40-7/pbk). 111-124 (2014). MSC: 35J25 42B20 46E35 76D10 76S05 35Q35 PDFBibTeX XMLCite \textit{M. Kohr} et al., in: Complex analysis and potential theory with applications. Selected papers of the 9th congress of the International Society for Analysis, Applications, and Computation (ISAAC), Cracow, Poland, August 5--9, 2013. Cambridge: Cambridge Scientific Publishers. 111--124 (2014; Zbl 1354.35031)
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains. (English) Zbl 1334.35052 J. Math. Fluid Mech. 16, No. 3, 595-630 (2014). MSC: 35J58 PDFBibTeX XMLCite \textit{M. Kohr} et al., J. Math. Fluid Mech. 16, No. 3, 595--630 (2014; Zbl 1334.35052) Full Text: DOI
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Layer potential analysis for pseudodifferential matrix operators in Lipschitz domains on compact Riemannian manifolds: applications to pseudodifferential Brinkman operators. (English) Zbl 1319.35319 Int. Math. Res. Not. 2013, No. 19, 4499-4588 (2013). Reviewer: Sönke Hansen (Paderborn) MSC: 35S15 35J25 42B20 76D03 PDFBibTeX XMLCite \textit{M. Kohr} et al., Int. Math. Res. Not. 2013, No. 19, 4499--4588 (2013; Zbl 1319.35319) Full Text: DOI
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Dirichlet-transmission problems for pseudodifferential Brinkman operators on Sobolev and Besov spaces associated to Lipschitz domains in Riemannian manifolds. (English) Zbl 1291.35458 ZAMM, Z. Angew. Math. Mech. 93, No. 6-7, 446-458 (2013). MSC: 35S15 35R01 PDFBibTeX XMLCite \textit{M. Kohr} et al., ZAMM, Z. Angew. Math. Mech. 93, No. 6--7, 446--458 (2013; Zbl 1291.35458) Full Text: DOI
Fericean, Denisa; Groşan, Teodor; Kohr, Mirela; Wendland, Wolfgang L. Interface boundary value problems of Robin-transmission type for the Stokes and Brinkman systems on \(n\)-dimensional Lipschitz domains: applications. (English) Zbl 1278.35190 Math. Methods Appl. Sci. 36, No. 12, 1631-1648 (2013). MSC: 35Q35 35J25 35A01 35A02 76D07 PDFBibTeX XMLCite \textit{D. Fericean} et al., Math. Methods Appl. Sci. 36, No. 12, 1631--1648 (2013; Zbl 1278.35190) Full Text: DOI
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L. Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains. (English) Zbl 1269.47053 Potential Anal. 38, No. 4, 1123-1171 (2013). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47N20 42B20 46E35 35J25 76D99 76M99 PDFBibTeX XMLCite \textit{M. Kohr} et al., Potential Anal. 38, No. 4, 1123--1171 (2013; Zbl 1269.47053) Full Text: DOI
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Potential analysis for pseudodifferential matrix operators in Lipschitz domains on Riemannian manifolds. Applications to Brinkman operators. (English) Zbl 1299.35111 Mathematica 54(77), No. 2, 156-173 (2012). MSC: 35J25 35S15 42B20 46E35 58J40 PDFBibTeX XMLCite \textit{M. Kohr} et al., Mathematica 54(77), No. 2, 156--173 (2012; Zbl 1299.35111)
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Dirichlet-transmission problems for general Brinkman operators on Lipschitz and \(C^1\) domains in Riemannian manifolds. (English) Zbl 1223.58017 Discrete Contin. Dyn. Syst., Ser. B 15, No. 4, 999-1018 (2011). Reviewer: Dian K. Palagachev (Bari) MSC: 58J32 42B20 46E35 58J05 76D03 31C12 PDFBibTeX XMLCite \textit{M. Kohr} et al., Discrete Contin. Dyn. Syst., Ser. B 15, No. 4, 999--1018 (2011; Zbl 1223.58017) Full Text: DOI
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. On mapping properties of layer potential operators for Brinkman equations on Lipschitz domains in Riemannian manifolds. (English) Zbl 1212.35088 Mathematica 52(75), No. 1, 31-46 (2010). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J25 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., Mathematica 52(75), No. 1, 31--46 (2010; Zbl 1212.35088)
Kohr, Mirela; Pintea, Cornel; Wendland, Wolfgang L. Stokes-Brinkman transmission problems on Lipschitz and \(C^1\) domains in Riemannian manifolds. (English) Zbl 1228.35099 Commun. Pure Appl. Anal. 9, No. 2, 493-537 (2010). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 35J25 42B20 46E35 PDFBibTeX XMLCite \textit{M. Kohr} et al., Commun. Pure Appl. Anal. 9, No. 2, 493--537 (2010; Zbl 1228.35099) Full Text: DOI
Efendiev, Messoud A.; Wendland, Wolfgang L. Nonlinear Riemann-Hilbert problems for generalized analytic functions. (English) Zbl 1192.30010 Funct. Approximatio, Comment. Math. 40, Part 2, 185-208 (2009). Reviewer: Samyon R. Nasyrov (Kazan’) MSC: 30E25 30G20 35J65 47H11 45G05 PDFBibTeX XMLCite \textit{M. A. Efendiev} and \textit{W. L. Wendland}, Funct. Approximatio, Comment. Math. 40, Part 2, 185--208 (2009; Zbl 1192.30010) Full Text: DOI
Efendiev, Messoud; Homburg, Ale Jan; Wendland, Wolfgang The Borsuk–Ulam theorem for quasi-ruled Fredholm maps. (English) Zbl 1111.47050 Fixed Point Theory 7, No. 1, 43-63 (2006). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47H11 30E25 47H10 47J05 58B15 PDFBibTeX XMLCite \textit{M. Efendiev} et al., Fixed Point Theory 7, No. 1, 43--63 (2006; Zbl 1111.47050)
Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L. On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. (English) Zbl 1125.35032 Complex Variables, Theory Appl. 50, No. 7-11, 681-696 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J35 35S05 45B05 PDFBibTeX XMLCite \textit{F. Cakoni} et al., Complex Variables, Theory Appl. 50, No. 7--11, 681--696 (2005; Zbl 1125.35032) Full Text: DOI
Eck, C.; Nazarov, S. A.; Wendland, W. L. Asymptotic analysis for a mixed boundary value contact problem. (English) Zbl 1002.74071 Arch. Ration. Mech. Anal. 156, No. 4, 275-316 (2001). Reviewer: Nikolai Pleshchinskii (Kazan’) MSC: 74M15 74G70 74G10 PDFBibTeX XMLCite \textit{C. Eck} et al., Arch. Ration. Mech. Anal. 156, No. 4, 275--316 (2001; Zbl 1002.74071) Full Text: DOI
Eck, C.; Steinbach, O.; Wendland, W. L. A symmetric boundary element method for contact problems with friction. (English) Zbl 1027.65162 Math. Comput. Simul. 50, No. 1-4, 43-61 (1999). MSC: 65N38 74S15 35J25 74M10 74M15 PDFBibTeX XMLCite \textit{C. Eck} et al., Math. Comput. Simul. 50, No. 1--4, 43--61 (1999; Zbl 1027.65162) Full Text: DOI
Schulz, Heiko; Schwab, Christoph; Wendland, Wolfgang L. The computation of potentials near and on the boundary by an extraction technique for boundary element methods. (English) Zbl 0943.65138 Comput. Methods Appl. Mech. Eng. 157, No. 3-4, 225-238 (1998). MSC: 65N38 35J05 PDFBibTeX XMLCite \textit{H. Schulz} et al., Comput. Methods Appl. Mech. Eng. 157, No. 3--4, 225--238 (1998; Zbl 0943.65138) Full Text: DOI
Efendiev, M. A.; Wendland, Wolfgang L. Nonlinear Riemann-Hilbert problems without transversality. (English) Zbl 0876.45003 Math. Nachr. 183, 73-89 (1997). Reviewer: E.Minchev (Sofia) MSC: 45G05 47J25 30E25 PDFBibTeX XMLCite \textit{M. A. Efendiev} and \textit{W. L. Wendland}, Math. Nachr. 183, 73--89 (1997; Zbl 0876.45003) Full Text: DOI
Gatica, Gabriel N.; Wendland, Wolfgang L. On the coupling of mixed finite element and boundary integral methods for a nonlinear elasticity problem. (English) Zbl 0893.73062 Morino, Luigi (ed.) et al., Boundary integral methods for nonlinear problems. Proceedings of the IABEM symposium. Pontignano, Italy, May 28–June 3, 1995. Dordrecht: Kluwer Academic Publishers. 75-80 (1997). MSC: 74S05 74S15 74B20 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{W. L. Wendland}, in: Boundary integral methods for nonlinear problems. Proceedings of the IABEM symposium. Pontignano, Italy, May 28--June 3, 1995. Dordrecht: Kluwer Academic Publishers. 75--80 (1997; Zbl 0893.73062)
Efendiev, M. A.; Wendland, Wolfgang L. Nonlinear Riemann-Hilbert problems for multiply connected domains. (English) Zbl 0926.47040 Nonlinear Anal., Theory Methods Appl. 27, No. 1, 37-58 (1996). Reviewer: Messoud Efendiev (Berlin) MSC: 47H11 35Q15 30E25 PDFBibTeX XMLCite \textit{M. A. Efendiev} and \textit{W. L. Wendland}, Nonlinear Anal., Theory Methods Appl. 27, No. 1, 37--58 (1996; Zbl 0926.47040) Full Text: DOI
Berger, Harald; Warnecke, Gerald; Wendland, Wolfgang L. Coupling of FEM and BEM for transonic flows. (English) Zbl 0835.76043 Whiteman, J. R. (ed.), The mathematics of finite elements and applications. Highlights 1993. Proceedings of the 8th conference on the mathematics of finite elements and applications, MAFELAP ’93, held at Brunel University, Uxbridge, UK, April 27-30, 1993. Chichester: Wiley. 323-350 (1994). Reviewer: T.Petrila (Cluj-Napoca) MSC: 76M10 76M15 76H05 PDFBibTeX XMLCite \textit{H. Berger} et al., in: The mathematics of finite elements and applications. Highlights 1993. Proceedings of the 8th conference on the mathematics of finite elements and applications, MAFELAP '93, held at Brunel University, Uxbridge, UK, April 27-30, 1993. Chichester: Wiley. 323--350 (1994; Zbl 0835.76043)
Hsiao, G. C.; Wendland, W. L. On the low frequency asymptotics for exterior elasticity problems. (English) Zbl 0731.73090 Integral equations and inverse problems, Proc. Int. Conf., Varna/Bulg. 1989, Pitman Res. Notes Math. Ser. 235, 115-127 (1991). MSC: 74S15 45M05 74R99 65R20 45E05 PDFBibTeX XML
Wendland, W. L. Boundary element methods for elliptic problems. (English) Zbl 0712.65099 Mathematical theory of finite and boundary element methods, Lect. Notes, Düsseldorf/Ger. 1987, DMV Semin. 15, 219-276 (1990). Reviewer: C.I.Gheorghiu MSC: 65N38 65R20 65N30 65N35 35Q30 35S15 45B05 35Q35 76M15 76Q05 35J40 35J25 PDFBibTeX XML
Wendland, W. L.; Schmitz, H.; Bumb, H. A boundary element method for three-dimensional elastic fields near reentrant corners. (English) Zbl 0727.73086 The mathematics of finite elements and applications VI, MAFELAP 1987, Proc. 6th Conf., Uxbridge/UK 1987, 313-322 (1988). MSC: 74S15 65N38 74S30 74P10 PDFBibTeX XML
Costabel, M.; Onishi, K.; Wendland, W. L. A boundary element collocation method for the Neumann problem of the heat equation. (English) Zbl 0633.65116 Inverse and ill-posed problems, Alpine-U.S. Semin. St. Wolfgang/Austria 1986, Notes Rep. Math. Sci. Eng. 4, 369-384 (1987). Reviewer: M.Costabel MSC: 65N35 65R20 35K05 35C15 45E10 PDFBibTeX XML
Král, Josef; Wendland, Wolfgang Some examples concerning applicability of the Fredholm-Radon method in potential theory. (English) Zbl 0615.31005 Apl. Mat. 31, 293-308 (1986). Reviewer: S.J.Gardiner MSC: 31B20 47A53 PDFBibTeX XMLCite \textit{J. Král} and \textit{W. Wendland}, Apl. Mat. 31, 293--308 (1986; Zbl 0615.31005) Full Text: EuDML
Stephan, Ernst P.; Wendland, Wolfgang L. An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems. (English) Zbl 0522.73083 Appl. Anal. 18, 183-219 (1985). MSC: 74R05 65R20 65N35 45B05 35J05 31A25 49M15 74S30 PDFBibTeX XMLCite \textit{E. P. Stephan} and \textit{W. L. Wendland}, Appl. Anal. 18, 183--219 (1985; Zbl 0522.73083) Full Text: DOI
Stephan, E. P.; Wendland, W. L. The boundary integral method for two-dimensional screen and crack problems. (English) Zbl 0582.73093 Boundary elements VI, Proc. 6th Int. Conf., Queen Elizabeth 2 Liner, Southampton 1984, No. 9, 3-18 (1984). Reviewer: G.Jumarie MSC: 74R05 65N30 74S99 65K10 46E35 PDFBibTeX XML
Costabel, Martin; Stephan, Ernst; Wendland, Wolfgang L. On boundary integral equations of the first kind for the bi-Laplacian in a polygonal plane domain. (English) Zbl 0563.45007 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 10, 197-241 (1983). Reviewer: N.F.F.Ebecken MSC: 45F15 31A30 35J40 65N35 35C15 PDFBibTeX XMLCite \textit{M. Costabel} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 10, 197--241 (1983; Zbl 0563.45007) Full Text: Numdam EuDML
Costabel, Martin; Stephan, Ernst; Wendland, Wolfgang L. Zur Randintegralmethode für das erste Fundamentalproblem der ebenen Elastizitaetstheorie auf Polygongebieten. (German) Zbl 0508.73076 Recent trends in mathematics, Conf. Reinhardsbrunn/GDR 1982, Teubner- Texte Math. 50, 56-68 (1983). MSC: 74S30 65R20 45B05 74S99 35J25 44A15 65N12 74B99 74H99 PDFBibTeX XML
Stephan, E.; Wendland, W. L. Boundary element method for membrane and torsion crack problems. (English) Zbl 0488.73096 Comput. Methods Appl. Mech. Eng. 36, 331-358 (1983). MSC: 74S30 65R20 45B05 74K15 74R05 65N06 65N30 74G70 74S05 PDFBibTeX XMLCite \textit{E. Stephan} and \textit{W. L. Wendland}, Comput. Methods Appl. Mech. Eng. 36, 331--358 (1983; Zbl 0488.73096) Full Text: DOI