Edit Profile (opens in new tab) Hsiao, George Chia-Chu Co-Author Distance Author ID: hsiao.george-c Published as: Hsiao, George C.; Hsiao, G. C.; Hsiao, George; Hsiao, G. more...less External Links: MGP · dblp · GND Documents Indexed: 161 Publications since 1973, including 5 Books and 1 Additional arXiv Preprint 1 Contribution as Editor Biographic References: 3 Publications Co-Authors: 70 Co-Authors with 139 Joint Publications 1,755 Co-Co-Authors all top 5 Co-Authors 23 single-authored 28 Wendland, Wolfgang L. 16 Gatica, Gabriel N. 15 Kleinman, Ralph Ellis 11 Gilbert, Robert Pertsch 8 Weinacht, Richard J. 7 Sayas, Francisco-Javier 7 Xu, Liwei 6 Sánchez-Vizuet, Tonatiuh 5 Begehr, Heinrich 5 Meddahi, Salim 5 Nigam, Nilima 5 Rathsfeld, Andreas 4 Elschner, Johannes 4 Schnack, Eckart 4 Zhang, Shangyou 3 Ahner, John F. 3 Angell, Thomas S. 3 Feistauer, Miloslav 3 Jordan, Kirk E. 3 Marcozzi, Michael D. 3 Porter, John F. 3 Saranen, Jukka 3 Stephan, Ernst Peter 2 Cakoni, Fioralba 2 Dallas, Allan G. 2 Fischer, Thomas Manfred 2 MacCamy, Richard C. 2 Prössdorf, Siegfried 2 Roach, Gary Francis 2 Sändig, Anna-Margarete 2 Sprekels, Jürgen 2 van den Berg, Peter M. 2 Yang, Vigor 1 Bach, Michael 1 Bacuta, Constantin 1 Barrenechea, Gabriel R. 1 Brown, Patrick M. 1 Cialdea, Alberto 1 Comstock, Craig 1 Constanda, Christian 1 Guyenne, Philippe 1 Hähner, Peter 1 Han, Houde 1 Hansen, Erik B. 1 Hassell, Matthew E. 1 Hebeker, Friedrich-Karl 1 Hermans, Aad J. 1 Hsieh, Shih-Yang 1 Khoromskiĭ, Boris Nikolaevich 1 Kress, Rainer 1 Liu, Fengshan 1 Liu, Yung-Way 1 Mellado, Mario E. 1 Meng, Hua 1 Mongia, Hukam C. 1 Monk, Peter B. 1 Pasciak, Joseph E. 1 Ronkese, Robert J. 1 Schneider, Manfred 1 Shoushani, Michael 1 Shuen, Jian-Shun 1 Steinbach, Olaf 1 Sun, Jiguang 1 Tezaur, Radek 1 Timman, R. 1 Wang, Shanwu 1 Wen, Lixin 1 Werner, Peter 1 Yin, Tao 1 Zwamborn, A. P. M. all top 5 Serials 13 Applicable Analysis 8 Journal of Mathematical Analysis and Applications 7 Mathematical Methods in the Applied Sciences 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Numerical Analysis 6 SIAM Journal on Mathematical Analysis 4 Applied Numerical Mathematics 3 Journal of Fluid Mechanics 3 Mathematische Nachrichten 3 Numerische Mathematik 3 SIAM Journal on Applied Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Numerical Analysis 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Advances in Computational Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Applied Mathematical Sciences 2 Pitman Research Notes in Mathematics Series 1 Archive for Rational Mechanics and Analysis 1 Inverse Problems 1 Rocky Mountain Journal of Mathematics 1 Computing 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Numerical Functional Analysis and Optimization 1 Rendiconti del Seminario Matematico 1 Journal of Integral Equations 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Complex Variables. Theory and Application 1 Journal of Computational Mathematics 1 Journal of Scientific Computing 1 Journal of Elasticity 1 SIAM Review 1 Georgian Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Advances in Differential Equations 1 Engineering Analysis with Boundary Elements 1 Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Matematica e Applicazioni. Serie V 1 IEEE Transactions on Antennas and Propagation 1 Matematicheskoe Modelirovanie 1 International Journal of Numerical Analysis and Modeling 1 Rendiconti di Matematica, VI. Serie 1 Complex Variables and Elliptic Equations 1 Mechanics of Fluids and Transport Processes 1 Inverse Problems and Imaging 1 Textbooks in Mathematics all top 5 Fields 111 Partial differential equations (35-XX) 93 Numerical analysis (65-XX) 45 Fluid mechanics (76-XX) 44 Mechanics of deformable solids (74-XX) 38 Integral equations (45-XX) 9 Potential theory (31-XX) 9 Optics, electromagnetic theory (78-XX) 6 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 1,806 times in 1,197 Documents Cited by ▼ Year ▼ Boundary integral equations. Zbl 1157.65066 Hsiao, George C.; Wendland, Wolfgang L. 300 2008 A finite element method for some integral equations of the first kind. Zbl 0352.45016 Hsiao, George C.; Wendland, Wolfgang L. 152 1977 The Aubin-Nitsche lemma for integral equations. Zbl 0478.45004 Hsiao, G. C.; Wendland, W. L. 80 1981 On the integral equation method for the plane mixed boundary value problem of the Laplacian. Zbl 0461.65082 Wendland, W. L.; Stephan, E.; Hsiao, G. C. 73 1979 Solution of boundary value problems by integral equations of first kind. Zbl 0235.45006 Hsiao, George; MacCamy, Richard C. 58 1973 On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\). Zbl 0741.65084 Gatica, Gabriel N.; Hsiao, George C. 47 1992 Some applications of a Galerkin-Collocation method for boundary integral equations of the first kind. Zbl 0546.65091 Hsiao, G. C.; Kopp, P.; Wendland, W. L. 45 1984 Weak solutions of fluid-solid interaction problems. Zbl 0963.35043 Hsiao, George C.; Kleinman, Ralph E.; Roach, Gary F. 44 2000 A Galerkin collocation method for some integral equations of the first kind. Zbl 0419.65088 Hsiao, G. C.; Kopp, P.; Wendland, W. L. 39 1980 Boundary integral equation methods for the two-dimensional fluid-solid interaction problem. Zbl 1386.35056 Yin, Tao; Hsiao, George C.; Xu, Liwei 36 2017 Uniqueness theorems in inverse obstacle scattering of elastic waves. Zbl 0789.35172 Hähner, Peter; Hsiao, George C. 33 1993 Boundary-field equation methods for a class of nonlinear problems. Zbl 0832.65126 Gatica, Gabriel N.; Hsiao, George C. 29 1995 The coupling of boundary element and finite element methods for a nonlinear exterior boundary value problem. Zbl 0698.65070 Gatica, G. N.; Hsiao, G. C. 29 1989 On the stability of integral equations of the first kind with logarithmic kernels. Zbl 0606.65089 Hsiao, George C. 27 1986 Boundary integral solution of the two-dimensional heat equation. Zbl 0772.45001 Hsiao, George C.; Saranen, J. 27 1993 Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. Zbl 1226.65090 Hsiao, George C.; Nigam, Nilima; Pasciak, Joseph E.; Xu, Liwei 26 2011 Singular perturbations for difference equations. Zbl 0356.65112 Comstock, Craig; Hsiao, George C. 25 1976 Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics. Zbl 0945.78012 Hsiao, George C.; Kleinman, Ralph E. 24 1997 On the two-dimensional exterior boundary-value problems of elasticity. Zbl 0355.73019 Ahner, John F.; Hsiao, George C. 23 1976 Domain decomposition methods via boundary integral equations. Zbl 0971.65111 Hsiao, G. C.; Steinbach, O.; Wendland, W. L. 22 2000 The coupling of boundary element and finite element methods. Zbl 0732.73062 Hsiao, G. C. 21 1990 The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems. Zbl 0821.65073 Gatica, Gabriel N.; Hsiao, George C. 19 1995 A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. Zbl 1247.76051 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim 19 2009 Optimal order multigrid methods for solving exterior boundary value problems. Zbl 0805.65113 Hsiao, George C.; Zhang, Shangyou 19 1994 Domain decomposition in boundary element methods. Zbl 0766.65094 Hsiao, George C.; Wendland, Wolfgang L. 18 1991 Relaxing the hypotheses of Bielak-MacCamy’s BEM-FEM coupling. Zbl 1242.65252 Gatica, Gabriel N.; Hsiao, George C.; Sayas, Francisco-Javier 18 2012 A hybrid coupled finite-boundary element method in elasticity. Zbl 0957.74051 Hsiao, G. C.; Schnack, E.; Wendland, W. L. 18 1999 Boundary and coupled boundary-finite element methods for transient wave-structure interaction. Zbl 1433.74114 Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier 18 2017 A coupled BEM and FEM for the interior transmission problem in acoustics. Zbl 1256.76048 Hsiao, George C.; Liu, Fengshan; Sun, Jiguang; Xu, Liwei 17 2011 On the boundary-field equation methods for fluid-structure interactions. Zbl 0849.76040 Hsiao, George C. 17 1994 A system of boundary integral equations for the transmission problem in acoustics. Zbl 1387.76072 Hsiao, George C.; Xu, Liwei 16 2011 On the Dirichlet problem in elasticity for a domain exterior to an arc. Zbl 0742.73026 Hsiao, George C.; Stephan, Ernst P.; Wendland, Wolfgang L. 15 1991 On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. Zbl 1125.35032 Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L. 14 2005 A coupled mixed finite element method for the interaction problem between an electromagnetic field and an elastic body. Zbl 1222.78050 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim 13 2010 Hybrid coupled finite-boundary element methods for elliptic systems of second order. Zbl 0973.65110 Hsiao, G. C.; Schnack, E.; Wendland, W. L. 13 2000 Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165 Elschner, J.; Hsiao, G. C.; Rathsfeld, A. 12 2003 Singular perturbations for the exterior three-dimensional slow viscous flow problem. Zbl 0582.76026 Fischer, Thomas M.; Hsiao, George C.; Wendland, Wolfgang L. 12 1985 On an integral equation for the two-dimensional exterior Stokes problem. Zbl 0588.76048 Hsiao, George C.; Kress, Rainer 12 1985 The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems. Zbl 0764.65070 Gatica, Gabriel N.; Hsiao, George C. 12 1992 On a boundary integral method for some exterior problems in elasticity. Zbl 0624.73096 Hsiao, G. C.; Wendland, W. L. 12 1985 Time-dependent fluid-structure interaction. Zbl 1364.35221 Hsiao, George C.; Sayas, Francisco-Javier; Weinacht, Richard J. 12 2017 Large-eddy simulations of gas-turbine swirl injector flow dynamics. Zbl 1116.76047 Wang, Shanwu; Yang, Vigor; Hsiao, George; Hsieh, Shih-Yang; Mongia, Hukam C. 11 2007 Integral representations of solutions for two-dimensional viscous flow problems. Zbl 0484.76043 Hsiao, George C. 11 1982 Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations. Zbl 0855.65121 Feistauer, Miloslav; Hsiao, George C.; Kleinman, Ralph E. 11 1996 An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239 Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 11 2009 Error analysis in numerical solution of acoustic integral equations. Zbl 0823.76049 Hsiao, G. C.; Kleinman, R. E. 11 1994 An inverse problem for fluid-solid interaction. Zbl 1141.35470 Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 11 2008 Boundary integral equations. 2nd corrected and expanded edition. Zbl 1477.65007 Hsiao, George C.; Wendland, Wolfgang L. 11 2021 Nonlinear boundary value problems of Riemann-Hilbert type. Zbl 0501.35070 Begehr, Heinrich; Hsiao, George C. 10 1982 On a class of variational formulations for some nonlinear interface problems. Zbl 0767.35019 Gatica, G. N.; Hsiao, G. C. 10 1990 Boundary integral solvers for an evolutionary exterior Stokes problem. Zbl 1316.65082 Bacuta, Constantin; Hassell, Matthew E.; Hsiao, George C.; Sayas, Francisco-Javier 10 2015 Singular perturbations for a semilinear hyperbolic equation. Zbl 0534.35068 Hsiao, George C.; Weinacht, Richard J. 9 1983 The two-dimensional, linear orthotropic plate. Zbl 0516.73053 Gilbert, R. P.; Hsiao, G. C.; Schneider, M. 8 1983 Residual error - a simple and sufficient estimate of actual error in solutions of boundary integral equations. Zbl 0704.65084 Hsiao, G. C.; Kleinman, R. E.; Li, R.-X.; van den Berg, P. M. 8 1990 The Hilbert boundary value problem for nonlinear elliptic systems. Zbl 0532.35061 Begehr, Heinrich; Hsiao, George C. 7 1983 A Neumann series representation for solutions to boundary-value problems in dynamic elasticity. Zbl 0306.35035 Ahner, John F.; Hsiao, George C. 7 1975 A singularly perturbed Cauchy problem. Zbl 0415.35007 Hsiao, George C.; Weinacht, Richard J. 7 1979 Singular perturbations for the two-dimensional viscous flow problem. Zbl 0495.76040 Hsiao, George C.; MacCamy, Richard C. 6 1982 Preconditioning for boundary element methods in domain decomposition. Zbl 0988.65115 Hsiao, G. C.; Khoromskij, B. N.; Wendland, W. L. 6 2001 Boundary element methods – an overview. Zbl 1237.65133 Hsiao, George C. 6 2006 Transport and dynamics of liquid oxygen droplets in supercritical hydrogen streams. Zbl 1142.76495 Meng, H.; Hsiao, G. C.; Yang, V.; Shuen, J. S. 6 2005 On the relationship between boundary value problems. Zbl 0424.35034 Hsiao, G. C.; Roach, G. F. 6 1979 Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Zbl 0999.65138 Hsiao, George C.; Rathsfeld, Andreas 6 2002 Time-domain boundary integral methods in linear thermoelasticity. Zbl 1447.74044 Hsiao, George C.; Sánchez-Vizuet, Tonatiuh 6 2020 On two-dimensional slow viscous flows past obstacles in a half-plane. Zbl 0662.76041 Fischer, T. M.; Hsiao, G. C.; Wendland, W. L. 5 1986 Some recent developments on the coupling of finite element and boundary element methods. Zbl 0834.65105 Hsiao, G. C. 5 1991 Regularization for some boundary integral equations of the first kind in mechanics. Zbl 0946.35108 Cialdea, Alberto; Hsiao, George C. 5 1995 Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. Zbl 1043.65118 Hsiao, G. C.; Monk, P. B.; Nigam, N. 5 2002 Singular perturbations for a non-linear differential equation with a small parameter. Zbl 0229.34049 Hsiao, George C. 5 1973 A transmission problem for fluid-structure interaction in the exterior of a thin domain. Zbl 1096.74014 Hsiao, G. C.; Nigam, N. 5 2003 An optimal design problem for submerged bodies. Zbl 0622.76022 Angell, T. S.; Hsiao, G. C.; Kleinman, R. E. 5 1986 A generalization of the Arnold-Wendland lemma to a modified collocation method for boundary integral equations in \(\mathbb{R}^ 3\). Zbl 0802.65115 Hsiao, George C.; Prössdorf, Siegfried 5 1993 A time-dependent wave-thermoelastic solid interaction. Zbl 1466.65109 Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier; Weinacht, Richard J. 5 2019 Constructive function theoretic methods for higher order pseudoparabolic equations. Zbl 0338.35057 Gilbert, R. P.; Hsiao, G. C. 4 1976 Singular perturbation of an exterior Dirichlet problem. Zbl 0375.35007 Hsiao, George C. 4 1978 Solutions to the difference equations of singular perturbation problems. Zbl 0421.39001 Hsiao, G. C.; Jordan, K. E. 4 1979 On the low frequency asymptotics of the exterior 2-D Dirichlet problem in dynamic elasticity. Zbl 0632.73017 Hsiao, G. C.; Wendland, W. L. 3 1987 A stability result for distributed parameter identification in bilinear systems. Zbl 0656.93023 Hsiao, G. C.; Sprekels, J. 3 1988 On boundary integral equations of the first kind. Zbl 0672.65090 Hsiao, George C. 3 1989 On the variational formulation of a transmission problem for the Biot equations. Zbl 1188.35050 Gilbert, Robert P.; Hsiao, George C.; Xu, Liwei 3 2010 Weak solvability of interior transmission problems via mixed finite elements and Dirichlet-to-Neumann mappings. Zbl 0935.65120 Barrenechea, Gabriel R.; Gatica, Gabriel N.; Hsiao, George C. 3 1998 A domain decomposition method based on BEM and FEM for linear exterior boundary value problems. Zbl 0987.65130 Gatica, Gabriel N.; Hsiao, George C.; Mellado, Mario E. 3 2001 Mathematical model of the interaction problem between electromagnetic field and elastic body. Zbl 1053.74524 Cakoni, F.; Hsiao, G. C. 3 2002 Determination of cancellous bone density using low frequency acoustic measurements. Zbl 1151.74382 Gilbert, Robert P.; Guyenne, Philippe; Hsiao, George C. 3 2008 Water waves and ship hydrodynamics. An introduction. Zbl 0602.76023 Timman, R.; Hermans, A. J.; Hsiao, G. C. 3 1985 Iterative solutions of first kind integral equations. Zbl 0733.65100 van den Berg, P. M.; Zwamborn, A. P. M.; Hsiao, G. C.; Kleinman, R. E. 3 1991 On the dual-mixed formulation for an exterior Stokes problem. Zbl 1277.76021 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco-Javier 3 2013 A Newton-imbedding procedure for solutions of semilinear boundary value problems in Sobolev spaces. Zbl 1128.35042 Hsiao, George C. 2 2006 An initial-boundary value problem for a viscous compressible flow. Zbl 1129.76044 Hebeker, Friedrich-Karl; Hsiao, George C. 2 2007 Nonlinear boundary value problems for a class of elliptic systems. Zbl 0523.35086 Begehr, Heinrich; Hsiao, George C. 2 1980 Boundary integral solution of a nonlinear heat conduction problem. Zbl 0848.35063 Hsiao, G. C.; Saranen, J. 2 1996 On Galerkin’s method for a class of integral equations of the first kind. Zbl 0345.45015 Hsiao, George C.; Wendland, Wolfgang 2 1977 On nonlinear boundary value problems for an elliptic system in the plane. Zbl 0474.35050 Begehr, Heinrich; Hsiao, George C. 2 1981 Applications of boundary integral equation methods in 3D electromagnetic scattering. Zbl 0932.78014 Hsiao, G. C.; Kleinman, R. E.; Wang, D.-Q. 2 1999 Constructive function theoretic methods for fourth order pseudoparabolic equations in two space variables. Zbl 0317.35010 Brown, Patrick M.; Gilbert, R. P.; Hsiao, George C. 2 1976 A hybrid method for an exterior boundary value problem based on asymptotic expansion, boundary integral equation and finite element approximations. Zbl 0593.65065 Hsiao, G. C.; Porter, J. F. 2 1986 An integral equation for the floating-body problem. Zbl 0601.76011 Angell, T. S.; Hsiao, G. C.; Kleinman, R. E. 2 1986 The coupling of BEM and FEM for the two-dimensional viscous flow problem. Zbl 0619.76028 Hsiao, George C.; Porter, John F. 2 1988 Integral equation solution of some heat conduction problems. Zbl 0748.35002 Hsiao, G. C.; Saranen, J. 2 1991 The coupling of BEM and FEM for exterior boundary value problems. Zbl 0624.73050 Hsiao, G. C.; Porter, J. F. 2 1986 On the propagation of acoustic waves in a thermo-electro-magneto-elastic solid. Zbl 1497.35141 Hsiao, George C.; Wendland, Wolfgang L. 1 2022 Boundary integral equations. 2nd corrected and expanded edition. Zbl 1477.65007 Hsiao, George C.; Wendland, Wolfgang L. 11 2021 Further developments on boundary-field equation methods for nonlinear transmission problems. Zbl 1476.65322 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim 1 2021 Time-domain boundary integral methods in linear thermoelasticity. Zbl 1447.74044 Hsiao, George C.; Sánchez-Vizuet, Tonatiuh 6 2020 A time-dependent wave-thermoelastic solid interaction. Zbl 1466.65109 Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier; Weinacht, Richard J. 5 2019 Nonsingular kernel boundary integral and finite element coupling method. Zbl 1417.65210 Xu, Liwei; Zhang, Shangyou; Hsiao, George C. 2 2019 Time dependent solutions for the Biot equations. Zbl 1414.74010 Gilbert, Robert P.; Hsiao, George C. 1 2019 Boundary integral equation methods for the two-dimensional fluid-solid interaction problem. Zbl 1386.35056 Yin, Tao; Hsiao, George C.; Xu, Liwei 36 2017 Boundary and coupled boundary-finite element methods for transient wave-structure interaction. Zbl 1433.74114 Hsiao, George C.; Sánchez-Vizuet, Tonatiuh; Sayas, Francisco-Javier 18 2017 Time-dependent fluid-structure interaction. Zbl 1364.35221 Hsiao, George C.; Sayas, Francisco-Javier; Weinacht, Richard J. 12 2017 New developments on the coupling of mixed-FEM and BEM for the three-dimensional exterior Stokes problem. Zbl 1383.76338 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco J. 2 2016 Boundary integral solvers for an evolutionary exterior Stokes problem. Zbl 1316.65082 Bacuta, Constantin; Hassell, Matthew E.; Hsiao, George C.; Sayas, Francisco-Javier 10 2015 Solving negative order equations by the multigrid method via variable substitution. Zbl 1307.65172 Hsiao, George C.; Xu, Liwei; Zhang, Shangyou 2 2014 On the dual-mixed formulation for an exterior Stokes problem. Zbl 1277.76021 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim; Sayas, Francisco-Javier 3 2013 Transparent boundary conditions for the wave equation a Kirchhoff point of view. Zbl 1277.35233 Hsiao, George C.; Weinacht, Richard J. 1 2013 Relaxing the hypotheses of Bielak-MacCamy’s BEM-FEM coupling. Zbl 1242.65252 Gatica, Gabriel N.; Hsiao, George C.; Sayas, Francisco-Javier 18 2012 A representation formula for the wave equation revisited. Zbl 1235.35071 Hsiao, George C.; Weinacht, Richard J. 1 2012 Error analysis of the DtN-FEM for the scattering problem in acoustics via Fourier analysis. Zbl 1226.65090 Hsiao, George C.; Nigam, Nilima; Pasciak, Joseph E.; Xu, Liwei 26 2011 A coupled BEM and FEM for the interior transmission problem in acoustics. Zbl 1256.76048 Hsiao, George C.; Liu, Fengshan; Sun, Jiguang; Xu, Liwei 17 2011 A system of boundary integral equations for the transmission problem in acoustics. Zbl 1387.76072 Hsiao, George C.; Xu, Liwei 16 2011 A coupled mixed finite element method for the interaction problem between an electromagnetic field and an elastic body. Zbl 1222.78050 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim 13 2010 On the variational formulation of a transmission problem for the Biot equations. Zbl 1188.35050 Gilbert, Robert P.; Hsiao, George C.; Xu, Liwei 3 2010 A residual-based a posteriori error estimator for a two-dimensional fluid-solid interaction problem. Zbl 1247.76051 Gatica, Gabriel N.; Hsiao, George C.; Meddahi, Salim 19 2009 An optimization method in inverse acoustic scattering by an elastic obstacle. Zbl 1186.35239 Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 11 2009 A characterization of the Calderón projector for the biharmonic equation. Zbl 1183.35108 Hsiao, G. C.; Wendland, W. L. 1 2009 Boundary integral equations. Zbl 1157.65066 Hsiao, George C.; Wendland, Wolfgang L. 300 2008 An inverse problem for fluid-solid interaction. Zbl 1141.35470 Elschner, Johannes; Hsiao, George C.; Rathsfeld, Andreas 11 2008 Determination of cancellous bone density using low frequency acoustic measurements. Zbl 1151.74382 Gilbert, Robert P.; Guyenne, Philippe; Hsiao, George C. 3 2008 Large-eddy simulations of gas-turbine swirl injector flow dynamics. Zbl 1116.76047 Wang, Shanwu; Yang, Vigor; Hsiao, George; Hsieh, Shih-Yang; Mongia, Hukam C. 11 2007 An initial-boundary value problem for a viscous compressible flow. Zbl 1129.76044 Hebeker, Friedrich-Karl; Hsiao, George C. 2 2007 Boundary element methods – an overview. Zbl 1237.65133 Hsiao, George C. 6 2006 A Newton-imbedding procedure for solutions of semilinear boundary value problems in Sobolev spaces. Zbl 1128.35042 Hsiao, George C. 2 2006 On the boundary integral equation method for a mixed boundary value problem of the biharmonic equation. Zbl 1125.35032 Cakoni, Fioralba; Hsiao, George; Wendland, Wolfgang L. 14 2005 Transport and dynamics of liquid oxygen droplets in supercritical hydrogen streams. Zbl 1142.76495 Meng, H.; Hsiao, G. C.; Yang, V.; Shuen, J. S. 6 2005 Grating profile reconstruction based on finite elements and optimization techniques. Zbl 1059.35165 Elschner, J.; Hsiao, G. C.; Rathsfeld, A. 12 2003 A transmission problem for fluid-structure interaction in the exterior of a thin domain. Zbl 1096.74014 Hsiao, G. C.; Nigam, N. 5 2003 Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Zbl 0999.65138 Hsiao, George C.; Rathsfeld, Andreas 6 2002 Error analysis of a finite element-integral equation scheme for approximating the time-harmonic Maxwell system. Zbl 1043.65118 Hsiao, G. C.; Monk, P. B.; Nigam, N. 5 2002 Mathematical model of the interaction problem between electromagnetic field and elastic body. Zbl 1053.74524 Cakoni, F.; Hsiao, G. C. 3 2002 Preconditioning for boundary element methods in domain decomposition. Zbl 0988.65115 Hsiao, G. C.; Khoromskij, B. N.; Wendland, W. L. 6 2001 A domain decomposition method based on BEM and FEM for linear exterior boundary value problems. Zbl 0987.65130 Gatica, Gabriel N.; Hsiao, George C.; Mellado, Mario E. 3 2001 Weak solutions of fluid-solid interaction problems. Zbl 0963.35043 Hsiao, George C.; Kleinman, Ralph E.; Roach, Gary F. 44 2000 Domain decomposition methods via boundary integral equations. Zbl 0971.65111 Hsiao, G. C.; Steinbach, O.; Wendland, W. L. 22 2000 Hybrid coupled finite-boundary element methods for elliptic systems of second order. Zbl 0973.65110 Hsiao, G. C.; Schnack, E.; Wendland, W. L. 13 2000 A hybrid coupled finite-boundary element method in elasticity. Zbl 0957.74051 Hsiao, G. C.; Schnack, E.; Wendland, W. L. 18 1999 Applications of boundary integral equation methods in 3D electromagnetic scattering. Zbl 0932.78014 Hsiao, G. C.; Kleinman, R. E.; Wang, D.-Q. 2 1999 Hybrid methods for boundary value problems via boundary energy. Zbl 0938.65141 Hsiao, George C.; Schnack, Eckart; Wendland, Wolfgang L. 1 1999 Weak solvability of interior transmission problems via mixed finite elements and Dirichlet-to-Neumann mappings. Zbl 0935.65120 Barrenechea, Gabriel R.; Gatica, Gabriel N.; Hsiao, George C. 3 1998 Analysis, numerics and applications of differential and integral equations. Dedication to Wolfgang L. Wendland on the occasion of his 60th birthday. Zbl 0881.00018 1 1998 Observations on the numerical stability of the Galerkin method. Zbl 0974.65054 Dallas, Allan G.; Hsiao, G. C.; Kleinman, R. E. 1 1998 Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics. Zbl 0945.78012 Hsiao, George C.; Kleinman, Ralph E. 24 1997 Variational methods for the potential flow past an airfoil. Zbl 0894.35029 Hsiao, George C.; Marcozzi, Michael D. 1 1997 Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations. Zbl 0855.65121 Feistauer, Miloslav; Hsiao, George C.; Kleinman, Ralph E. 11 1996 Boundary integral solution of a nonlinear heat conduction problem. Zbl 0848.35063 Hsiao, G. C.; Saranen, J. 2 1996 Boundary-field equation methods for a class of nonlinear problems. Zbl 0832.65126 Gatica, Gabriel N.; Hsiao, George C. 29 1995 The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems. Zbl 0821.65073 Gatica, Gabriel N.; Hsiao, George C. 19 1995 Regularization for some boundary integral equations of the first kind in mechanics. Zbl 0946.35108 Cialdea, Alberto; Hsiao, George C. 5 1995 Analysis and numerical realization of coupled BEM and FEM for nonlinear exterior problems. Zbl 0817.65097 Feistauer, Miloslav; Hsiao, George C.; Kleinman, Ralph E.; Tezaur, R. 1 1995 Optimal order multigrid methods for solving exterior boundary value problems. Zbl 0805.65113 Hsiao, George C.; Zhang, Shangyou 19 1994 On the boundary-field equation methods for fluid-structure interactions. Zbl 0849.76040 Hsiao, George C. 17 1994 Error analysis in numerical solution of acoustic integral equations. Zbl 0823.76049 Hsiao, G. C.; Kleinman, R. E. 11 1994 A Gårding’s inequality for variational problems with constraints. Zbl 0830.65064 Gatica, Gabriel N.; Hsiao, George C. 1 1994 Uniqueness theorems in inverse obstacle scattering of elastic waves. Zbl 0789.35172 Hähner, Peter; Hsiao, George C. 33 1993 Boundary integral solution of the two-dimensional heat equation. Zbl 0772.45001 Hsiao, George C.; Saranen, J. 27 1993 A generalization of the Arnold-Wendland lemma to a modified collocation method for boundary integral equations in \(\mathbb{R}^ 3\). Zbl 0802.65115 Hsiao, George C.; Prössdorf, Siegfried 5 1993 On the progeny of Fichera’s boundary integral method. Zbl 0801.65114 Hsiao, George C. 1 1993 On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(\mathbb{R}^ 2\). Zbl 0741.65084 Gatica, Gabriel N.; Hsiao, George C. 47 1992 The coupling of boundary integral and finite element methods for nonmonotone nonlinear problems. Zbl 0764.65070 Gatica, Gabriel N.; Hsiao, George C. 12 1992 On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in \(R^ 2\). Zbl 0727.65093 Gatica, Gabriel N.; Hsiao, George C. 1 1992 Iterative solutions of boundary integral equations of the first kind. Zbl 0755.65107 Ahner, John F.; Hsiao, George C. 1 1992 On the identification of distributed parameters in hyperbolic equations. Zbl 0824.35067 Hsiao, G. C.; Sprekels, J. 1 1992 Domain decomposition in boundary element methods. Zbl 0766.65094 Hsiao, George C.; Wendland, Wolfgang L. 18 1991 On the Dirichlet problem in elasticity for a domain exterior to an arc. Zbl 0742.73026 Hsiao, George C.; Stephan, Ernst P.; Wendland, Wolfgang L. 15 1991 Some recent developments on the coupling of finite element and boundary element methods. Zbl 0834.65105 Hsiao, G. C. 5 1991 Iterative solutions of first kind integral equations. Zbl 0733.65100 van den Berg, P. M.; Zwamborn, A. P. M.; Hsiao, G. C.; Kleinman, R. E. 3 1991 Integral equation solution of some heat conduction problems. Zbl 0748.35002 Hsiao, G. C.; Saranen, J. 2 1991 The coupling of boundary element and finite element methods. Zbl 0732.73062 Hsiao, G. C. 21 1990 On a class of variational formulations for some nonlinear interface problems. Zbl 0767.35019 Gatica, G. N.; Hsiao, G. C. 10 1990 Residual error - a simple and sufficient estimate of actual error in solutions of boundary integral equations. Zbl 0704.65084 Hsiao, G. C.; Kleinman, R. E.; Li, R.-X.; van den Berg, P. M. 8 1990 The coupling of boundary element and finite element methods for a nonlinear exterior boundary value problem. Zbl 0698.65070 Gatica, G. N.; Hsiao, G. C. 29 1989 On boundary integral equations of the first kind. Zbl 0672.65090 Hsiao, George C. 3 1989 A stability result for distributed parameter identification in bilinear systems. Zbl 0656.93023 Hsiao, G. C.; Sprekels, J. 3 1988 The coupling of BEM and FEM for the two-dimensional viscous flow problem. Zbl 0619.76028 Hsiao, George C.; Porter, John F. 2 1988 On the stability of the spline collocation method for a class of integral equations of the first kind. Zbl 0666.65094 Hsiao, George C.; Prössdorf, Siegfried 1 1988 On the low frequency asymptotics of the exterior 2-D Dirichlet problem in dynamic elasticity. Zbl 0632.73017 Hsiao, G. C.; Wendland, W. L. 3 1987 A priori estimates for elliptic systems. Zbl 0647.35069 Begehr, H.; Hsiao, G. C. 1 1987 On the stability of integral equations of the first kind with logarithmic kernels. Zbl 0606.65089 Hsiao, George C. 27 1986 On two-dimensional slow viscous flows past obstacles in a half-plane. Zbl 0662.76041 Fischer, T. M.; Hsiao, G. C.; Wendland, W. L. 5 1986 An optimal design problem for submerged bodies. Zbl 0622.76022 Angell, T. S.; Hsiao, G. C.; Kleinman, R. E. 5 1986 A hybrid method for an exterior boundary value problem based on asymptotic expansion, boundary integral equation and finite element approximations. Zbl 0593.65065 Hsiao, G. C.; Porter, J. F. 2 1986 An integral equation for the floating-body problem. Zbl 0601.76011 Angell, T. S.; Hsiao, G. C.; Kleinman, R. E. 2 1986 The coupling of BEM and FEM for exterior boundary value problems. Zbl 0624.73050 Hsiao, G. C.; Porter, J. F. 2 1986 Singular perturbations for the exterior three-dimensional slow viscous flow problem. Zbl 0582.76026 Fischer, Thomas M.; Hsiao, George C.; Wendland, Wolfgang L. 12 1985 On an integral equation for the two-dimensional exterior Stokes problem. Zbl 0588.76048 Hsiao, George C.; Kress, Rainer 12 1985 On a boundary integral method for some exterior problems in elasticity. Zbl 0624.73096 Hsiao, G. C.; Wendland, W. L. 12 1985 Water waves and ship hydrodynamics. An introduction. Zbl 0602.76023 Timman, R.; Hermans, A. J.; Hsiao, G. C. 3 1985 An integral equation formulation for a boundary value problem of elasticity in the domain exterior to an arc. Zbl 0559.73022 Hsiao, George C.; Stephan, Ernst P.; Wendland, Wolfgang L. 1 1985 Some applications of a Galerkin-Collocation method for boundary integral equations of the first kind. Zbl 0546.65091 Hsiao, G. C.; Kopp, P.; Wendland, W. L. 45 1984 Singular perturbations for a semilinear hyperbolic equation. Zbl 0534.35068 Hsiao, George C.; Weinacht, Richard J. 9 1983 The two-dimensional, linear orthotropic plate. Zbl 0516.73053 Gilbert, R. P.; Hsiao, G. C.; Schneider, M. 8 1983 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,287 Authors 68 Wendland, Wolfgang L. 55 Gatica, Gabriel N. 51 Hsiao, George Chia-Chu 36 Stephan, Ernst Peter 32 Sayas, Francisco-Javier 27 Kohr, Mirela 26 Steinbach, Olaf 22 Praetorius, Dirk 19 Heuer, Norbert 18 Xu, Liwei 17 Natroshvili, David 16 Li, Peijun 16 Li, Xiaolin 16 Meddahi, Salim 15 Mikhailov, Sergey E. 15 Yin, Tao 13 Feischl, Michael 13 Gilbert, Robert Pertsch 13 Karkulik, Michael 13 Of, Günther 13 Oyarzúa, Ricardo 12 Chkadua, Otar 12 Führer, Thomas 12 Hu, Guanghui 10 Bao, Gang 10 Chapko, Roman 10 Harbrecht, Helmut 10 Nigam, Nilima 10 Zhang, Bo 9 Caucao, Sergio 9 Saranen, Jukka 9 Schwab, Christoph 9 Sun, Jiguang 9 Yang, Jiaqing 9 Zhang, Shougui 8 Aurada, Markus 8 Cialdea, Alberto 8 Costabel, Martin 8 Hiptmair, Ralf 8 Le Louër, Frédérique 8 Medková, Dagmar 8 Prössdorf, Siegfried 8 Yu, Dehao 7 Chen, Jeng-Tzong 7 Ganesh, Mahadevan 7 Khoromskiĭ, Boris Nikolaevich 7 Lanza de Cristoforis, Massimo 7 Maischak, Matthias 7 Marquez-Duran, Antonio M. 7 Monk, Peter B. 7 Ruotsalainen, Keijo Matti 7 Speck, Frank-Olme 7 Spence, Euan A. 7 Tausch, Johannes 7 Varnhorn, Werner 7 Ying, Wenjun 6 Barucq, Hélène 6 Begehr, Heinrich 6 Bonnet, Guy 6 Carstensen, Carsten 6 Christiansen, Søren 6 Corfdir, Alain 6 Domínguez, Víctor 6 Duduchava, Roland 6 Falletta, Silvia 6 Fresneda-Portillo, Carlos 6 Kando, Hisashi 6 Kleinman, Ralph Ellis 6 Lai, Jun 6 Li, Zi-Cai 6 Malaspina, Angelica 6 Melenk, Jens Markus 6 Qu, Fenglong 6 Rapún, María-Luisa 6 Ruiz-Baier, Ricardo 6 Sánchez-Vizuet, Tonatiuh 6 Sini, Mourad 6 Yuan, Xiaokai 5 Bonnet, Marc 5 Bruno, Oscar P. 5 Djellouli, Rabia 5 Dong, Heping 5 Fischer, Thomas Manfred 5 Gantner, Gregor 5 Givoli, Dan 5 Ji, Xia 5 Johansson, B. Tomas 5 Leonessa, Vita 5 MacCamy, Richard C. 5 Nédélec, Jean-Claude 5 Patlashenko, Igor 5 Scuderi, Letizia 5 Selgas, Virginia 5 Veerapaneni, Shravan Kumar 5 Vodička, Roman 5 Yan, Guozheng 5 Yang, Vigor 4 Agranovich, Mikhail Semënovich 4 Barrenechea, Gabriel R. 4 Pinheiro de Castro, Luís Filipe ...and 1,187 more Authors all top 5 Cited in 201 Serials 61 Journal of Computational Physics 58 Mathematical Methods in the Applied Sciences 57 Journal of Computational and Applied Mathematics 53 Engineering Analysis with Boundary Elements 52 Numerische Mathematik 49 Computer Methods in Applied Mechanics and Engineering 46 Applied Numerical Mathematics 37 Journal of Mathematical Analysis and Applications 30 Applicable Analysis 29 Computers & Mathematics with Applications 29 Journal of Integral Equations and Applications 26 Mathematics of Computation 22 Integral Equations and Operator Theory 19 Journal of Scientific Computing 18 International Journal for Numerical Methods in Engineering 18 Advances in Computational Mathematics 16 Inverse Problems 16 Applied Mathematics and Computation 13 SIAM Journal on Numerical Analysis 13 SIAM Journal on Scientific Computing 12 Journal of Fluid Mechanics 12 Numerical Methods for Partial Differential Equations 11 Numerical Algorithms 11 SIAM Journal on Applied Mathematics 10 Wave Motion 10 Numerical Functional Analysis and Optimization 10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Journal of Differential Equations 9 Computational Methods in Applied Mathematics 9 Inverse Problems and Imaging 8 Computing 8 Mathematische Nachrichten 8 Computational Mechanics 8 M\(^3\)AS. 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ESAIM, European Series in Applied and Industrial Mathematics 3 Differential Equations 3 Journal of Applied Mathematics and Computing 3 Multiscale Modeling & Simulation 3 SIAM Journal on Imaging Sciences 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 3 Mechanics of Solids 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Journal of the Franklin Institute 2 Ukrainian Mathematical Journal 2 BIT 2 Functional Analysis and its Applications 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational Optimization and Applications 2 Calculus of Variations and Partial Differential Equations ...and 101 more Serials all top 5 Cited in 38 Fields 700 Numerical analysis (65-XX) 684 Partial differential equations (35-XX) 274 Mechanics of deformable solids (74-XX) 218 Fluid mechanics (76-XX) 155 Integral equations (45-XX) 134 Optics, electromagnetic theory (78-XX) 78 Potential theory (31-XX) 58 Operator theory (47-XX) 31 Classical thermodynamics, heat transfer (80-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 26 Ordinary differential equations (34-XX) 26 Functional analysis (46-XX) 20 Functions of a complex variable (30-XX) 17 Difference and functional equations (39-XX) 17 Approximations and expansions (41-XX) 16 Systems theory; control (93-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 10 Biology and other natural sciences (92-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Integral transforms, operational calculus (44-XX) 7 Quantum theory (81-XX) 6 Special functions (33-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Computer science (68-XX) 4 Geophysics (86-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year