## Monk, Peter B.

Compute Distance To:
 Author ID: monk.peter-b Published as: Monk, Peter; Monk, P.; Monk, P. B.; Monk, Peter B.
 Documents Indexed: 172 Publications since 1985, including 2 Books 4 Contributions as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 89 Co-Authors with 161 Joint Publications 2,469 Co-Co-Authors
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### Co-Authors

 15 single-authored 47 Colton, David Lem 17 Cakoni, Fioralba 11 Huttunen, Tomi 11 Selgas, Virginia 6 Kirsch, Andreas 6 Luostari, Teemu 6 Sun, Jiguang 5 Chen, Qiang 5 Collino, Francis 5 Haddar, Houssem 5 Kaipio, Jari P. 5 Zhang, Yangwen 4 Chandler-Wilde, Simon N. 4 Civiletti, Benjamin J. 4 Cogar, Samuel 4 Lakhtakia, Akhlesh 4 Othmer, Hans G. 3 Chen, Gang 3 Cohen, Gary C. 3 Coyle, Joe 3 Demkowicz, Leszek F. 3 Kapita, Shelvean 3 Kress, Rainer 3 Meng, Shixu 3 Parrott, A. K. 2 Anderson, Tom H. 2 Brenner, Susanne Cecelia 2 Carstensen, Carsten 2 Darrigrand, Eric 2 de Teresa, Irene 2 Falk, Richard S. 2 Fan, Li 2 Giebermann, Klaus 2 Griesmaier, Roland 2 Lackner, Christopher 2 Lechleiter, Armin 2 Rapp, Paul E. 2 Rodríguez, Rodolfo 2 Süli, Endre E. 2 Vacus, Olivier 2 Vardapetyan, L. G. 2 Wang, Xiaobo 2 Weile, Daniel S. 2 Yang, Fan 1 Ainsworth, Mark 1 Aziz, A. Kadir 1 Bacuta, Constantin 1 Bermúdez de Castro, Alfredo 1 Buffa, Annalisa 1 Camaño, Jessika 1 Chan, John Fun-Choi 1 Dauge, Monique 1 Funken, Stefan A. 1 Gatto, Paolo 1 Gopalakrishnan, Jay 1 Hackbusch, Wolfgang 1 Hiptmair, Ralf 1 Hoppe, Ronald H. W. 1 Hsiao, George C. 1 Imbert-Gérard, Lise-Marie 1 Jennings, Nicholas R. 1 Lähivaara, Timo 1 Langer, Ulrich 1 LeHyaric, A. 1 Levitin, Michael R. 1 Li, Jielin 1 Makridakis, Charalambos G. 1 Malinen, Matti 1 Melenk, Jens Markus 1 Muniz, Wagner Barbosa 1 Nigam, Nilima 1 Parrott, Kevin 1 Pauly, Dirk 1 Perugia, Ilaria 1 Rachowicz, Waldemar 1 Richter, Gerard R. 1 Rivas, Cinthya 1 Santosa, Fadil N. 1 Schötzau, Dominik 1 Schwab, Christoph 1 Sepulveda, Paulina 1 Solano, Manuel E. 1 Sun, Jiguan 1 Thomas, Martin 1 Valli, Alberto 1 Wang, Daqing 1 Weile, D. 1 Wesson, P. J. 1 Wieners, Christian 1 Wildman, Raymond A. 1 Zhang, Shangyou 1 Zinn, Axel
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### Serials

 24 Inverse Problems 15 Journal of Computational and Applied Mathematics 10 SIAM Journal on Numerical Analysis 10 SIAM Journal on Applied Mathematics 7 Journal of Computational Physics 7 SIAM Journal on Scientific Computing 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Scientific Computing 5 SIAM Journal on Mathematical Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematics of Computation 4 Applied Numerical Mathematics 4 Inverse Problems and Imaging 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 International Journal for Numerical Methods in Engineering 3 Numerical Methods for Partial Differential Equations 3 Oberwolfach Reports 2 IMA Journal of Applied Mathematics 2 IMA Journal of Numerical Analysis 2 Mathematical Biosciences 2 Mathematical Methods in the Applied Sciences 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Scientific and Statistical Computing 2 Communications in Computational Physics 1 Journal of Mathematical Biology 1 BIT 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 COMPEL 1 Journal of Integral Equations and Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Review 1 Methods and Applications of Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 The ANZIAM Journal 1 IEEE Transactions on Antennas and Propagation 1 Computational Methods in Applied Mathematics 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Mathematics 1 Lecture Notes in Computational Science and Engineering 1 Analysis & PDE 1 Research in the Mathematical Sciences 1 Numerical Mathematics and Scientific Computation
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### Fields

 125 Partial differential equations (35-XX) 105 Numerical analysis (65-XX) 92 Optics, electromagnetic theory (78-XX) 26 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 10 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

146 Publications have been cited 3,530 times in 2,219 Documents Cited by Year
Finite element methods for Maxwell’s equations. Zbl 1024.78009
Monk, Peter
2003
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
A least-squares method for the Helmholtz equation. Zbl 0943.65127
Monk, P.; Wang, Da-Qing
1999
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
2000
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032
Ainsworth, M.; Monk, P.; Muniz, W.
2006
The inverse scattering problem for time-harmonic acoustic waves in an inhomogeneous medium. Zbl 0637.73026
Colton, David; Monk, Peter
1988
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
2011
Computational aspects of the ultra-weak variational formulation. Zbl 1015.65064
Huttunen, Tomi; Monk, Peter; Kaipio, Jari P.
2002
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
2010
Continuous finite elements in space and time for the heat equation. Zbl 0673.65070
Aziz, A. K.; Monk, Peter
1989
de Rham diagram for $$hp$$ finite element spaces. Zbl 0955.65084
Demkowicz, L.; Monk, P.; Vardapetyan, L.; Rachowicz, W.
2000
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
2002
Analysis of a finite element method for Maxwell’s equations. Zbl 0761.65097
Monk, Peter
1992
A finite element method for approximating the time-harmonic Maxwell equations. Zbl 0757.65126
Monk, Peter
1992
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
2005
Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. Zbl 1127.35030
Chandler-Wilde, Simon N.; Monk, Peter
2005
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
2010
A convergence analysis of Yee’s scheme on nonuniform grids. Zbl 0805.65121
Monk, Peter; Süli, Endre
1994
Optimizing the perfectly matched layer. Zbl 1040.78524
Collino, F.; Monk, P. B.
1998
Finite element methods for Maxwell’s transmission eigenvalues. Zbl 1246.78020
Monk, Peter; Sun, Jiguang
2012
The inverse source problem for Maxwell’s equations. Zbl 1099.35161
Albanese, R.; Monk, P. B.
2006
A mixed finite element method for the biharmonic equation. Zbl 0632.65112
Monk, Peter
1987
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
2008
A mixed method for approximating Maxwell’s equations. Zbl 0742.65091
Monk, Peter B.
1991
Wave-number-explicit bounds in time-harmonic scattering. Zbl 1154.35022
Chandler-Wilde, Simon N.; Monk, Peter
2008
Solving Maxwell’s equations using the ultra weak variational formulation. Zbl 1117.78011
Huttunen, T.; Malinen, M.; Monk, P.
2007
A posteriori error indicators for Maxwell’s equations. Zbl 1023.78004
Monk, Peter
1998
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028
Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P.
2004
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
2016
Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation. Zbl 1246.65211
Griesmaier, Roland; Monk, Peter
2011
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
2001
Discrete compactness and the approximation of Maxwell’s equations in $$\mathbb{R} ^3$$. Zbl 1035.65131
Monk, P.; Demkowicz, L.
2001
The adaptive computation of far-field patterns by a posteriori error estimation of linear functionals. Zbl 0932.65115
Monk, Peter; Süli, Endre
1998
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
2014
An analysis of Nédélec’s method for the spatial discretization of Maxwell’s equations. Zbl 0784.65091
Monk, Peter
1993
A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. Zbl 0588.76140
Colton, David; Monk, Peter
1985
A novel method for solving the inverse scattering problem for time- harmonic acoustic waves in the resonance region. II. Zbl 0641.76073
Colton, David; Monk, Peter
1986
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
2002
Superconvergence of finite element approximations to Maxwell’s equations. Zbl 0809.65124
Monk, Peter
1994
A comparison of three mixed methods for the time-dependent Maxwell’s equations. Zbl 0762.65081
Monk, Peter
1992
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
2004
Time-discrete finite element schemes for Maxwell’s equations. Zbl 0834.65120
Makridakis, Ch. G.; Monk, P.
1995
An analysis of the coupling of finite-element and Nyström methods in acoustic scattering. Zbl 0816.65104
Kirsch, A.; Monk, P.
1994
The linear sampling method for solving the electromagnetic inverse medium problem. Zbl 1006.35102
2002
The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves. Zbl 0623.65130
Colton, David; Monk, Peter
1987
A finite element/spectral method for approximating the time-harmonic Maxwell system in $$\mathbb{R}^ 3$$. Zbl 0840.65128
Kirsch, Andreas; Monk, Peter
1995
A sampling method for inverse scattering in the time domain. Zbl 1197.35315
Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P.
2010
Hexahedral $$\mathbf H(\operatorname{div})$$ and $$\mathbf H(\operatorname{curl})$$ finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
2011
Improvements for the ultra weak variational formulation. Zbl 1352.65528
Luostari, T.; Huttunen, T.; Monk, P.
2013
$$C^0$$ Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguan
2015
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
2000
Logarithmic convexity for discrete harmonic functions and the approximation of the Cauchy problem for Poisson’s equation. Zbl 0623.65095
Falk, R. S.; Monk, P. B.
1986
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
2005
A dispersion analysis of finite element methods for Maxwell’s equations. Zbl 0804.65122
Monk, P. B.; Parrott, A. K.
1994
Two methods for solving the inverse acoustic scattering problem. Zbl 0698.65076
Kirsch, Andreas; Kress, Rainer; Monk, P.; Zinn, Axel
1988
Gauss point mass lumping schemes for Maxwell’s equations. Zbl 0891.65130
Cohen, Gary; Monk, Peter
1998
An ultra-weak method for acoustic fluid-solid interaction. Zbl 1182.76949
Huttunen, T.; Kaipio, J. P.; Monk, P.
2008
A finite difference delay modeling approach to the discretization of the time domain integral equations of electromagnetics. Zbl 1369.78846
Wang, Xiaobo; Wildman, Raymond A.; Weile, Daniel S.; Monk, Peter
2008
The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Zbl 1075.76648
Huttunen, Tomi; Kaipio, Jari P.; Monk, Peter
2004
Discretization of the time domain CFIE for acoustic scattering problems using convolution quadrature. Zbl 1344.65090
Chen, Qiang; Monk, Peter
2014
Maxwell eigenvalues and discrete compactness in two dimensions. Zbl 0998.78011
Demkowicz, L.; Monk, P.; Schwab, Ch.; Vardapetyan, L.
2000
Analysis of convolution quadrature applied to the time-domain electric field integral equation. Zbl 1373.78069
Chen, Q.; Monk, P.; Wang, X.; Weile, D.
2012
Electromagnetic Stekloff eigenvalues in inverse scattering. Zbl 1375.35628
Camaño, Jessika; Lackner, Christopher; Monk, Peter
2017
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
2012
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
2013
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
2017
Error estimates for a numerical scheme for ferromagnetic problems. Zbl 0924.65113
Monk, P. B.; Vacus, O.
1998
On the $$p$$- and $$hp$$-extension of Nédélec’s curl-conforming elements. Zbl 0820.65066
Monk, Peter
1994
The inverse scattering problem for time-harmonic acoustic waves in a penetrable medium. Zbl 0619.35110
Colton, David; Monk, Peter
1987
Optimizing the perfectly matched layer. Zbl 0964.78018
Monk, P.; Collino, F.
1998
Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026
Monk, Peter; Selgas, Virginia
2011
An inverse fluid–solid interaction problem. Zbl 1183.65138
Monk, Peter; Selgas, Virginia
2009
A simple proof of convergence for an edge element discretization of Maxwell’s equations. Zbl 1031.65122
Monk, Peter
2003
The mathematics of scattering by unbounded, rough, inhomogeneous layers. Zbl 1118.78007
Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin
2007
Accurate discretization of a nonlinear micromagnetic problem. Zbl 0991.78004
Monk, P. B.; Vacus, O.
2001
Mur-Nédélec finite element schemes for Maxwell’s equations. Zbl 0956.78008
Cohen, Gary; Monk, Peter
1999
Inverse scattering from an orthotropic medium. Zbl 0885.35143
Colton, David; Kress, Rainer; Monk, Peter
1997
Multilevel discretization of symmetric saddle point systems without the discrete LBB condition. Zbl 1237.65121
Bacuta, Constantin; Monk, Peter
2012
Convergence analysis of a coupled finite element and spectral method in acoustic scattering. Zbl 0712.65095
Kirsch, A.; Monk, P.
1990
Error estimates for the ultra weak variational formulation in linear elasticity. Zbl 1457.74025
Luostari, Teemu; Huttunen, Tomi; Monk, Peter
2013
Scattering of time-harmonic electromagnetic waves by anisotropic inhomogeneous scatterers or impenetrable obstacles. Zbl 0979.78015
Coyle, Joe; Monk, Peter
2000
Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300
Kapita, Shelvean; Monk, Peter; Warburton, Timothy
2015
An inverse acoustic waveguide problem in the time domain. Zbl 1397.76123
Monk, Peter; Selgas, Virginia
2016
Discretization of the wave equation using continuous elements in time and a hybridizable discontinuous Galerkin method in space. Zbl 1296.65132
Griesmaier, Roland; Monk, Peter
2014
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
2016
The ultra weak variational formulation using Bessel basis functions. Zbl 1373.35100
Luostari, Teemu; Huttunen, Tomi; Monk, Peter
2012
The PML for rough surface scattering. Zbl 1419.78007
Chandler-Wilde, Simon N.; Monk, Peter
2009
Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328
Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter
2016
A linear sampling method for the detection of leukemia using microwaves. Zbl 0907.92014
Colton, David; Monk, Peter
1998
Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. Zbl 1378.65179
Imbert-Gérard, Lise-Marie; Monk, Peter
2017
Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015
Cogar, S.; Colton, D.; Monk, P.
2018
A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium. Zbl 0715.35081
Colton, David; Monk, Peter
1989
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
2010
Inverse scattering using finite elements and gap reciprocity. Zbl 1194.35508
Monk, Peter; Sun, Jiguang
2007
A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007
Kirsch, Andreas; Monk, Peter
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.
2002
Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001
2003
The interior transmission problem for regions on a conducting surface. Zbl 1292.78015
Yang, Fan; Monk, Peter
2014
An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325
Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei
2004
Analysis of the linear sampling method for imaging penetrable obstacles in the time domain. Zbl 1467.35343
Cakoni, Fioralba; Monk, Peter; Selgas, Virginia
2021
Modified electromagnetic transmission eigenvalues in inverse scattering theory. Zbl 1455.35070
Cogar, Samuel; Monk, Peter B.
2020
Analysis of the rigorous coupled wave approach for $$s$$-polarized light in gratings. Zbl 1433.78021
Civiletti, Benjamin J.; Lakhtakia, Akhlesh; Monk, Peter B.
2020
Eigenvalue problems in inverse electromagnetic scattering theory. Zbl 1445.78004
Cogar, Samuel; Colton, David; Monk, Peter
2019
A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials. Zbl 1444.35164
Kaipio, J. P.; Huttunen, T.; Luostari, T.; Lähivaara, T.; Monk, P. B.
2019
Near-field linear sampling method for an inverse problem in an electromagnetic waveguide. Zbl 1461.35240
Monk, Peter; Selgas, Virginia; Yang, Fan
2019
Using eigenvalues to detect anomalies in the exterior of a cavity. Zbl 1400.78015
Cogar, S.; Colton, D.; Monk, P.
2018
Nondestructive testing of delaminated interfaces between two materials using electromagnetic interrogation. Zbl 1395.78048
Cakoni, Fioralba; de Teresa, Irene; Monk, Peter
2018
A plane wave discontinuous Galerkin method with a Dirichlet-to-Neumann boundary condition for the scattering problem in acoustics. Zbl 1372.65309
Kapita, Shelvean; Monk, Peter
2018
Electromagnetic Stekloff eigenvalues in inverse scattering. Zbl 1375.35628
Camaño, Jessika; Lackner, Christopher; Monk, Peter
2017
Modified transmission eigenvalues in inverse scattering theory. Zbl 1394.35305
Cogar, S.; Colton, D.; Meng, S.; Monk, P.
2017
Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves. Zbl 1378.65179
Imbert-Gérard, Lise-Marie; Monk, Peter
2017
Stekloff eigenvalues in inverse scattering. Zbl 1346.35228
Cakoni, F.; Colton, D.; Meng, S.; Monk, P.
2016
An inverse acoustic waveguide problem in the time domain. Zbl 1397.76123
Monk, Peter; Selgas, Virginia
2016
The linear sampling method for sparse small aperture data. Zbl 1351.65070
Guo, Y.; Monk, P.; Colton, D.
2016
Nondestructive testing of the delaminated interface between two materials. Zbl 1362.35328
Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter
2016
$$C^0$$ Interior penalty Galerkin method for biharmonic eigenvalue problems. Zbl 1349.65439
Brenner, Susanne C.; Monk, Peter; Sun, Jiguan
2015
Residual-based adaptivity and PWDG methods for the Helmholtz equation. Zbl 1433.65300
Kapita, Shelvean; Monk, Peter; Warburton, Timothy
2015
Time dependent scattering from a grating. Zbl 1349.78042
Fan, Li; Monk, Peter
2015
The time-domain Lippmann-Schwinger equation and convolution quadrature. Zbl 1309.65160
Lechleiter, Armin; Monk, Peter
2015
Time domain integral equation methods in computational electromagnetism. Zbl 1331.78030
Li, Jielin; Monk, Peter; Weile, Daniel
2015
Time dependent electromagnetic scattering by a penetrable obstacle. Zbl 1320.78010
Chan, John Fun-Choi; Monk, Peter
2015
A tent pitching scheme motivated by Friedrichs theory. Zbl 1443.65172
Gopalakrishnan, Jay; Monk, Peter; Sepúlveda, Paulina
2015
Error analysis for the finite element approximation of transmission eigenvalues. Zbl 1304.65239
Cakoni, Fioralba; Monk, Peter; Sun, Jiguang
2014
Discretization of the time domain CFIE for acoustic scattering problems using convolution quadrature. Zbl 1344.65090
Chen, Qiang; Monk, Peter
2014
Discretization of the wave equation using continuous elements in time and a hybridizable discontinuous Galerkin method in space. Zbl 1296.65132
Griesmaier, Roland; Monk, Peter
2014
The interior transmission problem for regions on a conducting surface. Zbl 1292.78015
Yang, Fan; Monk, Peter
2014
The ultra weak variational formulation of thin clamped plate problems. Zbl 1349.74330
Luostari, Teemu; Huttunen, Tomi; Monk, Peter
2014
Time domain CFIEs for electromagnetic scattering problems. Zbl 1291.78039
Chen, Qiang; Monk, Peter
2014
Improvements for the ultra weak variational formulation. Zbl 1352.65528
Luostari, T.; Huttunen, T.; Monk, P.
2013
Toward a time domain approach to the linear sampling method. Zbl 1291.65293
Guo, Y.; Monk, P.; Colton, D.
2013
Error estimates for the ultra weak variational formulation in linear elasticity. Zbl 1457.74025
Luostari, Teemu; Huttunen, Tomi; Monk, Peter
2013
Finite element methods for Maxwell’s transmission eigenvalues. Zbl 1246.78020
Monk, Peter; Sun, Jiguang
2012
Analysis of convolution quadrature applied to the time-domain electric field integral equation. Zbl 1373.78069
Chen, Q.; Monk, P.; Wang, X.; Weile, D.
2012
Sampling type methods for an inverse waveguide problem. Zbl 1263.74023
Monk, Peter; Selgas, Virginia
2012
Multilevel discretization of symmetric saddle point systems without the discrete LBB condition. Zbl 1237.65121
Bacuta, Constantin; Monk, Peter
2012
The ultra weak variational formulation using Bessel basis functions. Zbl 1373.35100
Luostari, Teemu; Huttunen, Tomi; Monk, Peter
2012
Introduction to applications of numerical analysis in time domain computational electromagnetism. Zbl 1247.78037
Chen, Qiang; Monk, Peter
2012
Combining the ultra-weak variational formulation and the multilevel fast multipole method. Zbl 1241.78049
Darrigrand, E.; Monk, P.
2012
The linear sampling method in inverse electromagnetic scattering. Zbl 1221.78001
Cakoni, Fioralba; Colton, David; Monk, Peter
2011
Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation. Zbl 1246.65211
Griesmaier, Roland; Monk, Peter
2011
Hexahedral $$\mathbf H(\operatorname{div})$$ and $$\mathbf H(\operatorname{curl})$$ finite elements. Zbl 1270.65066
Falk, Richard S.; Gatto, Paolo; Monk, Peter
2011
Near field sampling type methods for the inverse fluid-solid interaction problem. Zbl 1408.74026
Monk, Peter; Selgas, Virginia
2011
Analytical and computational methods for transmission eigenvalues. Zbl 1192.78024
Colton, David; Monk, Peter; Sun, Jiguang
2010
The inverse electromagnetic scattering problem for anisotropic media. Zbl 1197.35314
Cakoni, Fioralba; Colton, David; Monk, Peter; Sun, Jiguang
2010
A sampling method for inverse scattering in the time domain. Zbl 1197.35315
Chen, Q.; Haddar, H.; Lechleiter, A.; Monk, P.
2010
The determination of boundary coefficients from far field measurements. Zbl 1204.78013
Cakoni, Fioralba; Colton, David; Monk, Peter
2010
The determination of anisotropic surface impedance in electromagnetic scattering. Zbl 1230.78016
Cakoni, Fioralba; Monk, Peter
2010
An inverse fluid–solid interaction problem. Zbl 1183.65138
Monk, Peter; Selgas, Virginia
2009
The PML for rough surface scattering. Zbl 1419.78007
Chandler-Wilde, Simon N.; Monk, Peter
2009
Plane wave methods for approximating the time harmonic wave equation. Zbl 1179.78114
Luostari, Teemu; Huttunen, Tomi; Monk, Peter
2009
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
2008
Wave-number-explicit bounds in time-harmonic scattering. Zbl 1154.35022
Chandler-Wilde, Simon N.; Monk, Peter
2008
An ultra-weak method for acoustic fluid-solid interaction. Zbl 1182.76949
Huttunen, T.; Kaipio, J. P.; Monk, P.
2008
A finite difference delay modeling approach to the discretization of the time domain integral equations of electromagnetics. Zbl 1369.78846
Wang, Xiaobo; Wildman, Raymond A.; Weile, Daniel S.; Monk, Peter
2008
Solving Maxwell’s equations using the ultra weak variational formulation. Zbl 1117.78011
Huttunen, T.; Malinen, M.; Monk, P.
2007
On the use of transmission eigenvalues to estimate the index of refraction from far field data. Zbl 1115.78008
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
The mathematics of scattering by unbounded, rough, inhomogeneous layers. Zbl 1118.78007
Chandler-Wilde, Simon N.; Monk, Peter; Thomas, Martin
2007
Inverse scattering using finite elements and gap reciprocity. Zbl 1194.35508
Monk, Peter; Sun, Jiguang
2007
The inverse electromagnetic scattering problem for a partially coated dielectric. Zbl 1222.78024
Cakoni, Fioralba; Colton, David; Monk, Peter
2007
Coupling of the ultra-weak variational formulation and an integral representation using a fast multipole method in electromagnetism. Zbl 1136.78008
Darrigrand, E.; Monk, P.
2007
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation. Zbl 1102.76032
Ainsworth, M.; Monk, P.; Muniz, W.
2006
The inverse source problem for Maxwell’s equations. Zbl 1099.35161
Albanese, R.; Monk, P. B.
2006
The 3D inverse electromagnetic scattering problem for a coated dielectric. Zbl 1118.78008
Cakoni, Fioralba; Monk, Peter
2006
A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Zbl 1082.65099
Monk, Peter; Richter, Gerard R.
2005
Existence, uniqueness, and variational methods for scattering by unbounded rough surfaces. Zbl 1127.35030
Chandler-Wilde, Simon N.; Monk, Peter
2005
The determination of the surface conductivity of a partially coated dielectric. Zbl 1083.78007
Cakoni, Fioralba; Colton, David; Monk, Peter
2005
The ultra-weak variational formulation for elastic wave problems. Zbl 1093.74028
Huttunen, T.; Monk, P.; Collino, F.; Kaipio, J. P.
2004
The electromagnetic inverse-scattering problem for partly coated Lipschitz domains. Zbl 1071.78021
Cakoni, Fioralba; Colton, David; Monk, Peter
2004
The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Zbl 1075.76648
Huttunen, Tomi; Kaipio, Jari P.; Monk, Peter
2004
An eddy-current and micromagnetism model with applications to disk write heads. Zbl 1109.78325
Sun, J.; Collino, F.; Monk, P. B.; Wang, Lei
2004
Finite element methods for Maxwell’s equations. Zbl 1024.78009
Monk, Peter
2003
A simple proof of convergence for an edge element discretization of Maxwell’s equations. Zbl 1031.65122
Monk, Peter
2003
Computational electromagnetics. Proceedings of the GAMM workshop on computational electromagnetics, Kiel, Germany, January 26–28, 2001. Zbl 1007.78001
2003
Herglotz wave functions in inverse electromagnetic scattering theory. Zbl 1042.78007
Colton, David; Monk, Peter
2003
Computational aspects of the ultra-weak variational formulation. Zbl 1015.65064
Huttunen, Tomi; Monk, Peter; Kaipio, Jari P.
2002
Stabilized interior penalty methods for the time-harmonic Maxwell equations. Zbl 1040.78011
Perugia, I.; Schötzau, D.; Monk, P.
2002
The linear sampling method for solving the electromagnetic inverse scattering problem. Zbl 1037.78008
Colton, David; Haddar, Houssem; Monk, Peter
2002
The linear sampling method for solving the electromagnetic inverse medium problem. Zbl 1006.35102
2002
A finite element method for approximating electromagnetic scattering from a conducting object. Zbl 1004.78007
Kirsch, Andreas; Monk, Peter
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.
2002
The direct and inverse scattering problems for partially coated obstacles. Zbl 1001.35122
Cakoni, Fioralba; Colton, David; Monk, Peter
2001
Discrete compactness and the approximation of Maxwell’s equations in $$\mathbb{R} ^3$$. Zbl 1035.65131
Monk, P.; Demkowicz, L.
2001
Accurate discretization of a nonlinear micromagnetic problem. Zbl 0991.78004
Monk, P. B.; Vacus, O.
2001
Phase-accuracy comparisons and improved far-field estimates for 3-D edge elements on tetrahedral meshes. Zbl 0982.78023
Monk, Peter; Parrott, Kevin
2001
Recent developments in inverse acoustic scattering theory. Zbl 0960.76081
Colton, David; Coyle, Joe; Monk, Peter
2000
de Rham diagram for $$hp$$ finite element spaces. Zbl 0955.65084
Demkowicz, L.; Monk, P.; Vardapetyan, L.; Rachowicz, W.
2000
A regularized sampling method for solving three-dimensional inverse scattering problems. Zbl 0961.35172
Colton, David; Giebermann, Klaus; Monk, Peter
2000
Maxwell eigenvalues and discrete compactness in two dimensions. Zbl 0998.78011
Demkowicz, L.; Monk, P.; Schwab, Ch.; Vardapetyan, L.
2000
Scattering of time-harmonic electromagnetic waves by anisotropic inhomogeneous scatterers or impenetrable obstacles. Zbl 0979.78015
Coyle, Joe; Monk, Peter
2000
The finite element approximation of scattering in a layered medium. Zbl 0960.65121
Coyle, Joe; Monk, Peter
2000
The linear sampling method in inverse scattering theory. Zbl 0968.35132
Colton, David; Kirsch, Andreas; Monk, Peter
2000
A least-squares method for the Helmholtz equation. Zbl 0943.65127
Monk, P.; Wang, Da-Qing
1999
Mur-Nédélec finite element schemes for Maxwell’s equations. Zbl 0956.78008
Cohen, Gary; Monk, Peter
1999
A linear sampling method for the detection of leukemia using microwaves. II. Zbl 1069.92511
Colton, David; Monk, Peter
1999
The perfectly matched layer in curvilinear coordinates. Zbl 0940.78011
Collino, Francis; Monk, Peter
1998
Optimizing the perfectly matched layer. Zbl 1040.78524
Collino, F.; Monk, P. B.
1998
A posteriori error indicators for Maxwell’s equations. Zbl 1023.78004
Monk, Peter
1998
The adaptive computation of far-field patterns by a posteriori error estimation of linear functionals. Zbl 0932.65115
Monk, Peter; Süli, Endre
1998
Gauss point mass lumping schemes for Maxwell’s equations. Zbl 0891.65130
Cohen, Gary; Monk, Peter
1998
...and 46 more Documents
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### Cited by 2,352 Authors

 60 Monk, Peter B. 52 Li, Jichun 36 Li, Peijun 35 Huang, Yunqing 31 Slodička, Marián 30 Liu, Hongyu 28 Cakoni, Fioralba 27 Demkowicz, Leszek F. 27 Hiptmair, Ralf 27 Perugia, Ilaria 25 Colton, David Lem 25 Sun, Jiguang 24 Hu, Guanghui 23 Zou, Jun 22 Haddar, Houssem 21 Nicaise, Serge 20 Guo, Yukun 19 Bao, Gang 19 Schöberl, Joachim 19 Yan, Guozheng 19 Yang, Wei 19 Yang, Yidu 16 Bacuta, Constantin 16 Bi, Hai 16 Hu, Qiya 16 Ji, Xia 16 Rodríguez, Rodolfo 16 Spence, Euan A. 16 Zhang, Bo 15 Li, Jingzhi 15 Ma, Fuming 15 Sayas, Francisco-Javier 14 Farhat, Charbel H. 13 Brenner, Susanne Cecelia 13 Buffa, Annalisa 13 Kress, Rainer 13 Laghrouche, Omar 13 Pasciak, Joseph E. 13 Trevelyan, Jon 13 Zhang, Shangyou 13 Zhang, Zhimin 12 Antoine, Xavier 12 Boffi, Daniele 12 Ciarlet, Patrick jun. 12 Cockburn, Bernardo 12 Huttunen, Tomi 12 Joly, Patrick 12 Lechleiter, Armin 12 Liu, Xiaodong 12 Mohamed, M. Shadi 12 Schötzau, Dominik 12 Wang, Xianchao 12 Yang, Chuanfu 11 Chandler-Wilde, Simon N. 11 Geuzaine, Christophe A. 11 Han, Jiayu 11 Moiola, Andrea 11 Rapún, María-Luisa 11 Schöps, Sebastian 11 Xu, Liwei 11 Yuan, Long 11 Zheng, Weiying 10 Barucq, Hélène 10 Kleefeld, Andreas 10 Lanteri, Stéphane 10 Li, Fengyan 10 Tezaur, Radek 10 Yousept, Irwin 10 Zhang, Deyue 9 Alonso Rodríguez, Ana 9 Duan, Huoyuan 9 Graham, Ivan G. 9 Harris, Isaac 9 Kirsch, Andreas 9 Ladevèze, Pierre 9 Liu, Jijun 9 Pelekanos, George 9 Riou, Hervé 9 Shu, Chi-Wang 9 Valli, Alberto 9 van Bockstal, Karel 9 Wang, Junping 9 Wu, Haijun 9 Yang, Jiaqing 9 Yao, Changhui 8 Burman, Erik 8 Christiansen, Snorre Harald 8 Cui, Jintao 8 Després, Bruno 8 Ganesh, Mahadevan 8 Gedicke, Joscha 8 Imperiale, Sébastien 8 Le Louër, Frédérique 8 Luo, Zhendong 8 Meddahi, Salim 8 Nguyen, Dinh Liem 8 Pardo, David 8 Park, Won-Kwang 8 Qiu, Weifeng 8 Qu, Fenglong ...and 2,252 more Authors
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### Cited in 209 Serials

 198 Journal of Computational Physics 134 Computer Methods in Applied Mechanics and Engineering 127 Journal of Computational and Applied Mathematics 104 Journal of Scientific Computing 100 Computers & Mathematics with Applications 82 Mathematics of Computation 68 Numerische Mathematik 66 Inverse Problems 65 SIAM Journal on Numerical Analysis 60 SIAM Journal on Scientific Computing 56 Applied Numerical Mathematics 53 Applicable Analysis 50 Applied Mathematics and Computation 42 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 40 International Journal for Numerical Methods in Engineering 33 Inverse Problems and Imaging 32 Journal of Mathematical Analysis and Applications 32 Mathematical Methods in the Applied Sciences 32 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 27 SIAM Journal on Applied Mathematics 26 Numerical Methods for Partial Differential Equations 25 Advances in Computational Mathematics 21 Journal of Differential Equations 21 Communications in Computational Physics 20 SIAM Journal on Mathematical Analysis 20 Engineering Analysis with Boundary Elements 19 Journal of Inverse and Ill-Posed Problems 18 BIT 17 Wave Motion 17 Inverse Problems in Science and Engineering 15 Numerical Algorithms 15 SIAM Journal on Imaging Sciences 14 Journal of Mathematical Physics 14 Advances in Applied Mathematics and Mechanics 13 Science China. Mathematics 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Journal of Computational Acoustics 11 Journal of Integral Equations and Applications 11 Computational Methods in Applied Mathematics 10 COMPEL 10 Applied Mathematical Modelling 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Computational Mechanics 9 Computational and Applied Mathematics 9 Multiscale Modeling & Simulation 9 International Journal of Numerical Analysis and Modeling 9 Research in the Mathematical Sciences 8 Calcolo 8 Acta Mathematicae Applicatae Sinica. English Series 8 Numerical Linear Algebra with Applications 8 SN Partial Differential Equations and Applications 7 Mathematics and Computers in Simulation 7 International Journal of Computer Mathematics 7 Archives of Computational Methods in Engineering 7 Complex Variables and Elliptic Equations 6 Archive for Rational Mechanics and Analysis 6 Computing 6 Communications in Partial Differential Equations 6 Discrete and Continuous Dynamical Systems. Series B 6 Discrete and Continuous Dynamical Systems. Series S 6 Results in Applied Mathematics 5 Computer Physics Communications 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Control and Optimization 5 Applied Mathematics Letters 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Computational Geosciences 5 Foundations of Computational Mathematics 5 Journal of Numerical Mathematics 5 Boundary Value Problems 5 SIAM/ASA Journal on Uncertainty Quantification 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 SMAI Journal of Computational Mathematics 4 Journal of Fluid Mechanics 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Applied Mathematics and Mechanics. (English Edition) 4 Mathematical Problems in Engineering 4 European Journal of Mechanics. A. Solids 4 International Journal of Computational Methods 4 East Asian Journal on Applied Mathematics 3 Communications on Pure and Applied Mathematics 3 International Journal for Numerical Methods in Fluids 3 Journal of Mathematical Biology 3 Integral Equations and Operator Theory 3 Applications of Mathematics 3 Journal of Elasticity 3 Linear Algebra and its Applications 3 Calculus of Variations and Partial Differential Equations 3 Communications in Numerical Methods in Engineering 3 ETNA. Electronic Transactions on Numerical Analysis 3 International Journal of Numerical Modelling 3 Mathematical Modelling and Analysis 3 AIMS Mathematics 3 Electronic Research Archive 2 Computers and Fluids 2 Communications in Mathematical Physics 2 International Journal of Engineering Science ...and 109 more Serials
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### Cited in 46 Fields

 1,496 Numerical analysis (65-XX) 1,274 Partial differential equations (35-XX) 929 Optics, electromagnetic theory (78-XX) 344 Fluid mechanics (76-XX) 251 Mechanics of deformable solids (74-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 52 Integral equations (45-XX) 41 Ordinary differential equations (34-XX) 41 Operator theory (47-XX) 41 Statistical mechanics, structure of matter (82-XX) 35 Global analysis, analysis on manifolds (58-XX) 33 Geophysics (86-XX) 27 Potential theory (31-XX) 23 Computer science (68-XX) 22 Quantum theory (81-XX) 22 Information and communication theory, circuits (94-XX) 21 Biology and other natural sciences (92-XX) 20 Systems theory; control (93-XX) 19 Approximations and expansions (41-XX) 18 Statistics (62-XX) 17 Classical thermodynamics, heat transfer (80-XX) 12 Integral transforms, operational calculus (44-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Probability theory and stochastic processes (60-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Functional analysis (46-XX) 8 Special functions (33-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 5 History and biography (01-XX) 5 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 5 Relativity and gravitational theory (83-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Operations research, mathematical programming (90-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX)