Edit Profile (opens in new tab) Pedregal, Pablo Co-Author Distance Author ID: pedregal.pablo Published as: Pedregal, Pablo; Pedregal, P.; Pedregal Tercero, Pablo; Pedegral, Pablo more...less External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 168 Publications since 1989, including 8 Books and 14 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 42 Co-Authors with 83 Joint Publications 1,371 Co-Co-Authors all top 5 Co-Authors 85 single-authored 12 Periago, Francisco 11 Münch, Arnaud 8 Kinderlehrer, David 6 Aranda, Ernesto 6 Bellido, José Carlos 5 Amat Plata, Sergio 5 Bandeira, Luís 5 Maestre, Faustino 5 Martínez-Frutos, Jesús 5 Mora-Corral, Carlos 5 Muñoz, Julio 4 Donoso, Alberto 3 Fonseca, Irene 3 Meziat, René J. 3 Ortigosa, Rogelio 3 Serrano, Hélia 2 Castillo, Enrique F. 2 Egozcue, Juan José 2 Font, Roberto 2 Legaz, María José 2 Llibre, Jaume 2 Ortigosa-Martínez, Rogelio 2 Šverák, Vladimír 2 Tiago, Jorge 2 Yan, Baisheng 1 Alguacil, Natalia 1 Aranda Ortega, Ernesto 1 Bellido Guerrero, José Carlos 1 Bevan, Jonathan J. 1 Boussaid, Omar 1 Conejo, Antonio J. 1 Fernández-Cara, Enrique 1 García, Ricardo 1 Lemoine, Jérôme 1 López, David J. 1 Luceño, Alberto 1 Monleón Pradas, Manuel 1 Müller, Stefan 1 Owen, David Ross 1 Patiño, Diego 1 Villena, Jorge Fernández 1 Zhang, Yuan all top 5 Serials 8 Archive for Rational Mechanics and Analysis 7 SIAM Journal on Mathematical Analysis 5 Applied Mathematics and Optimization 5 Numerical Functional Analysis and Optimization 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Journal of Convex Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Control and Optimization 4 Discrete and Continuous Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 S\(\vec{\text{e}}\)MA Journal 3 Journal of the Franklin Institute 3 Quarterly of Applied Mathematics 3 Revista Matemática Complutense 3 Milan Journal of Mathematics 3 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 2 Inverse Problems 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 European Journal of Applied Mathematics 2 Differential and Integral Equations 2 Applied Mathematical Modelling 2 Journal of Elasticity 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 2 Unitext 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Revista de Matemáticas Aplicadas 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Dynamical Systems 1 Journal of Applied Mathematics 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Structural and Multidisciplinary Optimization 1 Texts in Applied Mathematics 1 Advances in Design and Control 1 International Journal of Mathematical Analysis (Ruse) 1 Advances in Calculus of Variations 1 SEMA SIMAI Springer Series 1 Journal of Elliptic and Parabolic Equations 1 Progress in Nonlinear Differential Equations and Their Applications 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts all top 5 Fields 112 Calculus of variations and optimal control; optimization (49-XX) 52 Mechanics of deformable solids (74-XX) 42 Partial differential equations (35-XX) 23 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 8 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Operator theory (47-XX) 6 Optics, electromagnetic theory (78-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 1,377 times in 755 Documents Cited by ▼ Year ▼ Parametrized measures and variational principles. Zbl 0879.49017 Pedregal, Pablo 251 1997 Characterizations of Young measures generated by gradients. Zbl 0754.49020 Kinderlehrer, David; Pedregal, Pablo 142 1991 Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046 Kinderlehrer, David; Pedregal, Pablo 110 1994 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 81 1998 Weak convergence of integrands and the Young measure representation. Zbl 0757.49014 Kinderlehrer, David; Pedregal, Pablo 48 1992 Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031 Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo 36 2015 Variational methods in nonlinear elasticity. Zbl 0941.74002 Pedregal, Pablo 34 2000 Laminates and microstructure. Zbl 0779.73050 Pedregal, Pablo 30 1993 Optimal design of the damping set for the stabilization of the wave equation. Zbl 1105.49005 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 24 2006 Numerical null controllability of the heat equation through a least squares and variational approach. Zbl 1301.80002 Münch, Arnaud; Pedregal, Pablo 22 2014 Introduction to optimization. Zbl 1036.90002 Pedregal, Pablo 19 2004 Optimization, relaxation and Young measures. Zbl 0916.49011 Pedregal, Pablo 18 1999 Relaxation in ferromagnetism: The rigid case. Zbl 0790.46061 Pedregal, P. 18 1994 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030 Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 17 1994 Nonlocal variational principles. Zbl 0918.49013 Pedregal, Pablo 15 1997 Vector variational problems and applications to optimal design. Zbl 1089.49022 Pedregal, Pablo 14 2005 On the numerical analysis of non-convex variational problems. Zbl 0858.65059 Pedregal, Pablo 14 1996 Jensen’s inequality in the calculus of variations. Zbl 0810.49013 Pedregal, Pablo 14 1994 Building and solving mathematical programming models in engineering and science. Zbl 1029.90001 Castillo, Enrique; Conejo, Antonio J.; Pedregal, Pablo; Garciá, Ricardo; Alguacil, Natalia 13 2002 Numerical approximation of parametrized measures. Zbl 0848.65049 Pedregal, Pablo 13 1995 A note on quasiconvexity and rank-one convexity for \(2\times 2\) matrices. Zbl 0918.49012 Pedregal, Pablo; Šverák, Vladimír 12 1998 Weak lower semicontinuity and relaxation for a class of non-local functionals. Zbl 1348.49010 Pedregal, Pablo 12 2016 A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002 Amat, Sergio; Pedregal, Pablo 11 2009 A spatio-temporal design problem for a damped wave equation. Zbl 1147.35052 Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 10 2007 Multi-scale Young measures. Zbl 1091.49014 Pedregal, Pablo 10 2006 A duality method for micromagnetics. Zbl 1203.49052 Pedregal, Pablo; Yan, Baisheng 10 2010 A numerical method of local energy decay for the boundary controllability of time-reversible distributed parameter systems. Zbl 1190.65087 Pedregal, Pablo; Periago, Francisco; Villena, Jorge 10 2008 On the computation of the rank-one convex hull of a function. Zbl 0989.49015 Aranda, Ernesto; Pedregal, Pablo 10 2001 Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design. Zbl 0980.49021 Pedregal, Pablo 10 2001 Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Zbl 1035.49008 Bellido, José C.; Pedregal, Pablo 10 2002 An alternative approach for nonlinear optimal control problems based on the method of moments. Zbl 1171.49302 Meziat, René; Patiño, Diego; Pedregal, Pablo 9 2007 Existence results for optimal control problems with some special nonlinear dependence on state and control. Zbl 1194.49004 Pedregal, Pablo; Tiago, Jorge 9 2009 Constrained quasiconvexification of the square of the gradient of the state in optimal design. Zbl 1086.49013 Pedregal, Pablo 9 2004 Optimal design and constrained quasiconvexity. Zbl 0995.49004 Pedregal, Pablo 9 2000 Relaxation of an optimal design problem for the heat equation. Zbl 1147.35015 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 9 2008 Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field. Zbl 1243.74142 Donoso Bellón, Alberto; Pedregal, Pablo 9 2005 From a nonlinear, nonconvex variational problem to a linear, convex formulation. Zbl 1013.49007 Egozcue, Juan José; Meziat, René; Pedregal, Pablo 9 2002 Relaxation of an optimal design problem in fracture mechanic: the anti-plane case. Zbl 1221.49074 Münch, Arnaud; Pedregal, Pablo 8 2010 Weak continuity and weak lower semicontinuity for some compensation operators. Zbl 0702.35054 Pedregal, Pablo 8 1989 Optimal design via variational principles: The one-dimensional case. Zbl 0985.49006 Bellido, José Carlos; Pedregal, Pablo 8 2001 \(\Gamma\)-convergence through Young measures. Zbl 1077.49012 Pedregal, Pablo 8 2004 A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals. Zbl 1107.49014 Bevan, Jonathan; Pedregal, Pablo 8 2006 Robust optimal control of stochastic hyperelastic materials. Zbl 1481.49039 Martínez-Frutos, J.; Ortigosa, R.; Pedregal, P.; Periago, F. 8 2020 div-curl Young measures and optimal design in any dimension. Zbl 1140.49010 Pedregal, Pablo 7 2007 Some remarks on quasiconvexity and rank-one convexity. Zbl 0867.49012 Pedregal, Pablo 7 1996 A refinement on existence results in nonconvex optimal control. Zbl 1019.49003 Muñoz, Julio; Pedregal, Pablo 7 2001 Optimal design in two-dimensional conductivity for a general cost depending on the field. Zbl 1104.74052 Pedregal, Pablo 7 2006 A least-squares formulation for the approximation of null controls for the Stokes system. Zbl 1273.93028 Münch, Arnaud; Pedregal, Pablo 6 2013 Constrained envelope for a general class of design problems. Zbl 1062.49011 Aranda, Ernesto; Pedregal, Pablo 6 2003 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042 Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 6 1993 On the relaxation of an optimal design problem for plates. Zbl 0943.74048 Muñoz, Julio; Pedregal, Pablo 6 1998 Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184 Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo 6 2021 Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008 Maestre, Faustino; Pedregal, Pablo 6 2021 Optimal internal stabilization of the linear system of elasticity. Zbl 1169.74008 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 5 2009 A review of an optimal design problem for a plate of variable thickness. Zbl 1354.74200 Muñoz, Julio; Pedregal, Pablo 5 2007 Optimal design via variational principles: The three-dimensional case. Zbl 1038.49020 Bellido, José Carlos; Pedregal, Pablo 5 2003 Remarks about the analysis of gradient Young measures. Zbl 0833.49012 Kinderlehrer, David; Pedregal, P. 5 1992 Optimal control of soft materials using a Hausdorff distance functional. Zbl 1455.49009 Ortigosa, Rogelio; Martínez-Frutos, Jesús; Mora-Corral, Carlos; Pedregal, Pablo; Periago, Francisco 5 2021 On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101 Amat, Sergio; Pedregal, Pablo 4 2013 On the generality of variational principles. Zbl 1225.49003 Pedregal, Pablo 4 2003 Equilibrium conditions for Young measures. Zbl 0920.49014 Pedregal, Pablo 4 1998 Composition functionals in calculus of variations, application to products and quotients. Zbl 1143.49016 Castillo, Enrique; Luceño, Alberto; Pedregal, Pablo 4 2008 Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005 Kinderlehrer, David; Pedregal, Pablo 4 1991 A variational perspective on controllability. Zbl 1189.93023 Pedregal, Pablo 4 2010 Numerical approximation of non-homogeneous, non-convex vector variational problems. Zbl 1008.65042 Aranda, Ernesto; Pedegral, Pablo 4 2001 Optimal control and design of magnetic field-responsive smart polymer composites. Zbl 1525.49003 Ortigosa, R.; Martínez-Frutos, J.; Mora-Corral, C.; Pedregal, P.; Periago, F. 4 2022 A variational approach for the Navier-Stokes system. Zbl 1294.35072 Pedregal, Pablo 4 2012 Optimal design in conductivity under locally constrained heat flux. Zbl 1245.74066 Bellido, Jose Carlos; Donoso, Alberto; Pedregal, Pablo 3 2010 Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation. Zbl 1114.35013 Pedregal, Pablo; Periago, Francisco 3 2006 Existence in optimal control with state equation in divergence form via variational principles. Zbl 1084.49004 Bellido, José Carlos; Pedregal, Pablo 3 2003 Explicit solutions of nonconvex variational problems in dimension one. Zbl 0949.49019 Muñoz, J.; Pedregal, P. 3 2000 Dynamic materials for an optimal design problem under the two-dimensional wave equation. Zbl 1158.49019 Maestre, Faustino; Pedregal, Pablo 3 2009 Quasiconvexification of sets in optimal design. Zbl 1156.49012 Boussaid, Omar; Pedregal, Pablo 3 2009 An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034 Amat, Sergio; López, David J.; Pedregal, Pablo 3 2014 Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Zbl 1091.49013 Maestre, Faustino; Pedregal, Pablo 3 2006 Optimal design through the sub-relaxation method. Understanding the basic principles. Zbl 1355.74001 Pedregal, Pablo 3 2016 On non-locality in the calculus of variations. Zbl 1481.49016 Pedregal, Pablo 3 2021 Inverse quasiconvexification. Zbl 1475.49043 Pedregal, Pablo 3 2021 New existence result for autonomous one-dimensional optimal control problems. Zbl 1293.49003 Pedregal, P.; Tiago, J. 2 2007 On a Newton-type method for differential-algebraic equations. Zbl 1268.65105 Amat, S.; Légaz, M. J.; Pedregal, P. 2 2012 A variational approach to dynamical systems and its numerical simulation. Zbl 1211.34006 Pedregal, Pablo 2 2010 Homogenization of periodic composite power-law materials through Young measures. Zbl 1431.74101 Pedregal, Pablo; Serrano, Helia 2 2006 On two-dimensional ferromagnetism. Zbl 1177.82123 Pedregal, Pablo; Yan, Baisheng 2 2009 From micro to macroenergy through Young measures. Zbl 1106.74051 Pedregal, Pablo 2 2005 Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031 Kinderlehrer, David; Pedregal, P. 2 1994 Optimal design in 2-D conductivity for quadratic functionals in the field. Zbl 1320.78013 Pedregal, P. 2 2005 Finding new families of rank-one convex polynomials. Zbl 1184.26005 Bandeira, Luís; Pedregal, Pablo 2 2009 \(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations. Zbl 1180.35080 Pedregal, Pablo; Serrano, Hélia 2 2009 Relaxation in magnetostriction. Zbl 0951.49020 Pedregal, Pablo 2 2000 The method of moments for nonconvex variational problems. Zbl 1002.49019 Meziat, René; Egozcue, Juan José; Pedregal, Pablo 2 2001 Direct numerical algorithm for constrained variational problems. Zbl 1375.49047 Pedregal, Pablo 2 2017 \(\mathcal{A}\)-variational principles. Zbl 1531.49013 Bandeira, Luís; Pedregal, Pablo 2 2023 Constrained quasiconvexity and structural optimization. Zbl 0970.74053 Pedregal, Pablo 2 2000 On a generalization of compact operators and its application to the existence of critical points without convexity. Zbl 1244.49027 Pedregal, Pablo 2 2010 On error functionals. Zbl 1306.49021 Pedregal, Pablo 2 2014 The concept of a laminate. Zbl 0797.73052 Pedregal, Pablo 1 1993 The fundamental property of a perfect gas and the second law of thermodynamics. Zbl 0882.76075 Monleón Pradas, Manuel; Pedregal, Pablo 1 1996 An elementary proof of the fundamental property of a perfect gas. Zbl 0913.76077 Owen, David R.; Pedregal, Pablo 1 1998 Optimal design under the one-dimensional wave equation. Zbl 1231.49002 Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 1 2008 About least-squares type approach to address direct and controllability problems. Zbl 1425.65076 Münch, Arnaud; Pedregal, Pablo 1 2018 Mathematical modeling, analysis and control in soft robotics: a survey. Zbl 1541.49009 Ortigosa-Martínez, Rogelio; Martínez-Frutos, Jesús; Mora-Corral, Carlos; Pedregal, Pablo; Periago, Francisco 1 2024 Shape-programming in hyperelasticity through differential growth. Zbl 1547.49011 Ortigosa-Martínez, Rogelio; Martínez-Frutos, Jesús; Mora-Corral, Carlos; Pedregal, Pablo; Periago, Francisco 1 2024 Functional analysis, Sobolev spaces, and calculus of variations. Zbl 1544.46001 Pedregal, Pablo 1 2024 \(\mathcal{A}\)-variational principles. Zbl 1531.49013 Bandeira, Luís; Pedregal, Pablo 2 2023 Optimal control and design of magnetic field-responsive smart polymer composites. Zbl 1525.49003 Ortigosa, R.; Martínez-Frutos, J.; Mora-Corral, C.; Pedregal, P.; Periago, F. 4 2022 On a new type of boundary condition. Zbl 1480.35138 Pedregal, Pablo 1 2022 A multiplicative version of quasiconvexity for hyperelasticity. Zbl 1501.74009 Pedregal, Pablo 1 2022 On some non-linear systems of PDEs related to inverse problems in 3-d conductivity. Zbl 1487.35191 Pedregal, Pablo 1 2022 Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184 Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo 6 2021 Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008 Maestre, Faustino; Pedregal, Pablo 6 2021 Optimal control of soft materials using a Hausdorff distance functional. Zbl 1455.49009 Ortigosa, Rogelio; Martínez-Frutos, Jesús; Mora-Corral, Carlos; Pedregal, Pablo; Periago, Francisco 5 2021 On non-locality in the calculus of variations. Zbl 1481.49016 Pedregal, Pablo 3 2021 Inverse quasiconvexification. Zbl 1475.49043 Pedregal, Pablo 3 2021 Robust optimal control of stochastic hyperelastic materials. Zbl 1481.49039 Martínez-Frutos, J.; Ortigosa, R.; Pedregal, P.; Periago, F. 8 2020 About least-squares type approach to address direct and controllability problems. Zbl 1425.65076 Münch, Arnaud; Pedregal, Pablo 1 2018 What does rank-one convexity have to do with viscosity solutions? Zbl 1412.35066 Pedregal, Pablo 1 2018 Some numerical tests for an alternative approach to optimal feedback control. Zbl 1398.93122 Font, Roberto; Pedregal, Pablo 1 2018 Direct numerical algorithm for constrained variational problems. Zbl 1375.49047 Pedregal, Pablo 2 2017 Optimal feedback control, linear first-order PDE systems, and obstacle problems. Zbl 1364.93304 Pedregal, Pablo 1 2017 Variational methods for non-variational problems. Zbl 1387.49004 Pedregal, Pablo 1 2017 Optimization and approximation. Zbl 1375.90002 Pedregal, Pablo 1 2017 Weak lower semicontinuity and relaxation for a class of non-local functionals. Zbl 1348.49010 Pedregal, Pablo 12 2016 Optimal design through the sub-relaxation method. Understanding the basic principles. Zbl 1355.74001 Pedregal, Pablo 3 2016 Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031 Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo 36 2015 Weak limits in nonlinear conductivity. Zbl 1326.35166 Pedregal, Pablo 1 2015 A variable step-size implementation of a variational method for stiff differential equations. Zbl 1540.65177 Amat, Sergio; Legaz, M. José; Pedregal, Pablo 1 2015 Numerical null controllability of the heat equation through a least squares and variational approach. Zbl 1301.80002 Münch, Arnaud; Pedregal, Pablo 22 2014 An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034 Amat, Sergio; López, David J.; Pedregal, Pablo 3 2014 On error functionals. Zbl 1306.49021 Pedregal, Pablo 2 2014 A variational method for the numerical simulation of a boundary controllability problem for the linear and semilinear 1D wave equations. Zbl 1290.93021 Aranda, Ernesto; Pedregal, Pablo 1 2014 A least-squares formulation for the approximation of null controls for the Stokes system. Zbl 1273.93028 Münch, Arnaud; Pedregal, Pablo 6 2013 On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101 Amat, Sergio; Pedregal, Pablo 4 2013 A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing-venting control system of manned submarines. Zbl 1275.49052 Font, R.; Pedregal, P.; Periago, F. 1 2013 A variational approach for the Navier-Stokes system. Zbl 1294.35072 Pedregal, Pablo 4 2012 On a Newton-type method for differential-algebraic equations. Zbl 1268.65105 Amat, S.; Légaz, M. J.; Pedregal, P. 2 2012 Optimal design for multimaterials. Zbl 1252.49017 Pedregal, Pablo; Zhang, Yuan 1 2012 A duality method for micromagnetics. Zbl 1203.49052 Pedregal, Pablo; Yan, Baisheng 10 2010 Relaxation of an optimal design problem in fracture mechanic: the anti-plane case. Zbl 1221.49074 Münch, Arnaud; Pedregal, Pablo 8 2010 A variational perspective on controllability. Zbl 1189.93023 Pedregal, Pablo 4 2010 Optimal design in conductivity under locally constrained heat flux. Zbl 1245.74066 Bellido, Jose Carlos; Donoso, Alberto; Pedregal, Pablo 3 2010 A variational approach to dynamical systems and its numerical simulation. Zbl 1211.34006 Pedregal, Pablo 2 2010 On a generalization of compact operators and its application to the existence of critical points without convexity. Zbl 1244.49027 Pedregal, Pablo 2 2010 A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002 Amat, Sergio; Pedregal, Pablo 11 2009 Existence results for optimal control problems with some special nonlinear dependence on state and control. Zbl 1194.49004 Pedregal, Pablo; Tiago, Jorge 9 2009 Optimal internal stabilization of the linear system of elasticity. Zbl 1169.74008 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 5 2009 Dynamic materials for an optimal design problem under the two-dimensional wave equation. Zbl 1158.49019 Maestre, Faustino; Pedregal, Pablo 3 2009 Quasiconvexification of sets in optimal design. Zbl 1156.49012 Boussaid, Omar; Pedregal, Pablo 3 2009 On two-dimensional ferromagnetism. Zbl 1177.82123 Pedregal, Pablo; Yan, Baisheng 2 2009 Finding new families of rank-one convex polynomials. Zbl 1184.26005 Bandeira, Luís; Pedregal, Pablo 2 2009 \(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations. Zbl 1180.35080 Pedregal, Pablo; Serrano, Hélia 2 2009 Surprising effects associated with homogenization. Zbl 1242.74086 Pedregal, Pablo 1 2009 A numerical method of local energy decay for the boundary controllability of time-reversible distributed parameter systems. Zbl 1190.65087 Pedregal, Pablo; Periago, Francisco; Villena, Jorge 10 2008 Relaxation of an optimal design problem for the heat equation. Zbl 1147.35015 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 9 2008 Composition functionals in calculus of variations, application to products and quotients. Zbl 1143.49016 Castillo, Enrique; Luceño, Alberto; Pedregal, Pablo 4 2008 Optimal design under the one-dimensional wave equation. Zbl 1231.49002 Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 1 2008 A spatio-temporal design problem for a damped wave equation. Zbl 1147.35052 Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 10 2007 An alternative approach for nonlinear optimal control problems based on the method of moments. Zbl 1171.49302 Meziat, René; Patiño, Diego; Pedregal, Pablo 9 2007 div-curl Young measures and optimal design in any dimension. Zbl 1140.49010 Pedregal, Pablo 7 2007 A review of an optimal design problem for a plate of variable thickness. Zbl 1354.74200 Muñoz, Julio; Pedregal, Pablo 5 2007 New existence result for autonomous one-dimensional optimal control problems. Zbl 1293.49003 Pedregal, P.; Tiago, J. 2 2007 Optimal design of the damping set for the stabilization of the wave equation. Zbl 1105.49005 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 24 2006 Multi-scale Young measures. Zbl 1091.49014 Pedregal, Pablo 10 2006 A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals. Zbl 1107.49014 Bevan, Jonathan; Pedregal, Pablo 8 2006 Optimal design in two-dimensional conductivity for a general cost depending on the field. Zbl 1104.74052 Pedregal, Pablo 7 2006 Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation. Zbl 1114.35013 Pedregal, Pablo; Periago, Francisco 3 2006 Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Zbl 1091.49013 Maestre, Faustino; Pedregal, Pablo 3 2006 Homogenization of periodic composite power-law materials through Young measures. Zbl 1431.74101 Pedregal, Pablo; Serrano, Helia 2 2006 Young measures associated with homogenization. Zbl 1096.49008 Pedregal, Pablo 1 2006 A variational approach to a shape design problem for the wave equation. Zbl 1134.49027 Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 1 2006 Vector variational problems and applications to optimal design. Zbl 1089.49022 Pedregal, Pablo 14 2005 Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field. Zbl 1243.74142 Donoso Bellón, Alberto; Pedregal, Pablo 9 2005 From micro to macroenergy through Young measures. Zbl 1106.74051 Pedregal, Pablo 2 2005 Optimal design in 2-D conductivity for quadratic functionals in the field. Zbl 1320.78013 Pedregal, P. 2 2005 Introduction to optimization. Zbl 1036.90002 Pedregal, Pablo 19 2004 Constrained quasiconvexification of the square of the gradient of the state in optimal design. Zbl 1086.49013 Pedregal, Pablo 9 2004 \(\Gamma\)-convergence through Young measures. Zbl 1077.49012 Pedregal, Pablo 8 2004 Constrained envelope for a general class of design problems. Zbl 1062.49011 Aranda, Ernesto; Pedregal, Pablo 6 2003 Optimal design via variational principles: The three-dimensional case. Zbl 1038.49020 Bellido, José Carlos; Pedregal, Pablo 5 2003 On the generality of variational principles. Zbl 1225.49003 Pedregal, Pablo 4 2003 Existence in optimal control with state equation in divergence form via variational principles. Zbl 1084.49004 Bellido, José Carlos; Pedregal, Pablo 3 2003 Optimal design of a plate of variable thickness: a variational approach in dimension one. Zbl 1213.49004 Pedregal, Pablo; Donoso, Alberto 1 2003 Building and solving mathematical programming models in engineering and science. Zbl 1029.90001 Castillo, Enrique; Conejo, Antonio J.; Pedregal, Pablo; Garciá, Ricardo; Alguacil, Natalia 13 2002 Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Zbl 1035.49008 Bellido, José C.; Pedregal, Pablo 10 2002 From a nonlinear, nonconvex variational problem to a linear, convex formulation. Zbl 1013.49007 Egozcue, Juan José; Meziat, René; Pedregal, Pablo 9 2002 On the computation of the rank-one convex hull of a function. Zbl 0989.49015 Aranda, Ernesto; Pedregal, Pablo 10 2001 Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design. Zbl 0980.49021 Pedregal, Pablo 10 2001 Optimal design via variational principles: The one-dimensional case. Zbl 0985.49006 Bellido, José Carlos; Pedregal, Pablo 8 2001 A refinement on existence results in nonconvex optimal control. Zbl 1019.49003 Muñoz, Julio; Pedregal, Pablo 7 2001 Numerical approximation of non-homogeneous, non-convex vector variational problems. Zbl 1008.65042 Aranda, Ernesto; Pedegral, Pablo 4 2001 The method of moments for nonconvex variational problems. Zbl 1002.49019 Meziat, René; Egozcue, Juan José; Pedregal, Pablo 2 2001 Variational methods in nonlinear elasticity. Zbl 0941.74002 Pedregal, Pablo 34 2000 Optimal design and constrained quasiconvexity. Zbl 0995.49004 Pedregal, Pablo 9 2000 Explicit solutions of nonconvex variational problems in dimension one. Zbl 0949.49019 Muñoz, J.; Pedregal, P. 3 2000 Relaxation in magnetostriction. Zbl 0951.49020 Pedregal, Pablo 2 2000 Constrained quasiconvexity and structural optimization. Zbl 0970.74053 Pedregal, Pablo 2 2000 Optimization, relaxation and Young measures. Zbl 0916.49011 Pedregal, Pablo 18 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009 Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 81 1998 A note on quasiconvexity and rank-one convexity for \(2\times 2\) matrices. Zbl 0918.49012 Pedregal, Pablo; Šverák, Vladimír 12 1998 On the relaxation of an optimal design problem for plates. Zbl 0943.74048 Muñoz, Julio; Pedregal, Pablo 6 1998 Equilibrium conditions for Young measures. Zbl 0920.49014 Pedregal, Pablo 4 1998 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 822 Authors 74 Pedregal, Pablo 28 Kružík, Martin 28 Münch, Arnaud 19 Periago, Francisco 15 Bellido, José Carlos 15 Zappale, Elvira 14 Feireisl, Eduard 13 Roubíček, Tomáš 12 Mora-Corral, Carlos 12 Yan, Baisheng 11 Gwiazda, Piotr 11 Kristensen, Jan 10 Carstensen, Carsten 10 Krömer, Stefan 10 Székelyhidi, László jun. 10 Zhang, Kewei 9 Braides, Andrea 9 Fonseca, Irene 9 Serrano, Hélia 9 Sychev, Mikhail A. 8 Benešová, Barbora 8 Li, Zhiping 8 Rindler, Filip 7 Faraco, Daniel 7 Kreisbeck, Carolin 7 Müller, Stefan 7 Muñoz, Julio 7 Wiedemann, Emil 6 Allaire, Grégoire 6 Bhattacharya, Kaushik 6 Castillo, Enrique F. 6 Koumatos, Konstantinos 6 Lemoine, Jérôme 6 Martin, Robert J. 6 Mengesha, Tadele 6 Meziat, René J. 6 Michaille, Gérard 6 Nečasová, Šárka 6 Neff, Patrizio 5 DeSimone, Antonio 5 Du, Qiang 5 Ghiba, Ionel-Dumitrel 5 Grabovsky, Yury 5 Katzourakis, Nikolaos I. 5 Leugering, Günter 5 Lipton, Robert P. 5 Martínez-Frutos, Jesús 5 Ortiz, Michael 5 Patiño, Diego 5 Rüland, Angkana 5 Schönberger, Hidde 5 Voss, Jendrik 4 Amat Plata, Sergio 4 Babadjian, Jean-François 4 Bandeira, Luís 4 Colucci, Renato 4 Cueto, Javier 4 Dal Maso, Gianni 4 Della Porta, Francesco 4 Ducomet, Bernard 4 Gallenmüller, Dennis 4 Guerra, André 4 Hackl, Klaus 4 James, Richard D. 4 Kałamajska, Agnieszka 4 Kinderlehrer, David 4 Kirchheim, Bernd 4 Leoni, Giovanni 4 Lukáčová-Medviďová, Mária 4 Luskin, Mitchell 4 Mielke, Alexander 4 Mizerová, Hana 4 Porretta, Alessio 4 Praetorius, Dirk 4 Puchała, Piotr 4 She, Bangwei 4 Smarrazzo, Flavia 4 Sokołowski, Jan 4 Šverák, Vladimír 4 Świerczewska-Gwiazda, Agnieszka 4 Tesei, Alberto 4 Velčić, Igor 3 Andreianov, Boris 3 Ansini, Nadia 3 Anza Hafsa, Omar 3 Aranda, Ernesto 3 Azroul, Elhoussine 3 Baía, Margarida 3 Barchiesi, Marco 3 Bastos, Waldemar Donizete 3 Bertsch, Michiel 3 Burazin, Krešimir 3 Caraballo Garrido, Tomás 3 Chlebicka, Iwona 3 Cîndea, Nicolae 3 Conejo, Antonio J. 3 Conti, Sergio 3 Davoli, Elisa 3 De Philippis, Guido 3 Demoulini, Sophia ...and 722 more Authors all top 5 Cited in 198 Serials 47 Archive for Rational Mechanics and Analysis 47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 43 Calculus of Variations and Partial Differential Equations 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Journal of Mathematical Analysis and Applications 22 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 SIAM Journal on Mathematical Analysis 18 Journal of Differential Equations 13 Computer Methods in Applied Mechanics and Engineering 13 Applied Mathematics and Optimization 13 Journal of Optimization Theory and Applications 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Journal of Nonlinear Science 9 Journal of Functional Analysis 9 Continuum Mechanics and Thermodynamics 8 Journal of the Mechanics and Physics of Solids 8 Journal of Elasticity 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Structural and Multidisciplinary Optimization 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Advances in Calculus of Variations 7 S\(\vec{\text{e}}\)MA Journal 7 Journal of Elliptic and Parabolic Equations 6 Applicable Analysis 6 Communications on Pure and Applied Mathematics 6 Numerical Functional Analysis and Optimization 6 SIAM Journal on Control and Optimization 6 Applied Mathematical Modelling 6 Mathematics and Mechanics of Solids 6 Journal of Mathematical Fluid Mechanics 6 Nonlinear Analysis. Real World Applications 5 Mathematical Methods in the Applied Sciences 5 Numerische Mathematik 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Computers & Mathematics with Applications 4 Journal of the Franklin Institute 4 Nonlinearity 4 Mathematics of Computation 4 Transactions of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Applicandae Mathematicae 4 Applied Numerical Mathematics 4 Optimization 4 NoDEA. Nonlinear Differential Equations and Applications 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Journal of Computational Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematics and Computers in Simulation 3 Quarterly of Applied Mathematics 3 Optimal Control Applications & Methods 3 European Journal of Applied Mathematics 3 Journal of Global Optimization 3 European Journal of Operational Research 3 Journal of Mathematical Sciences (New York) 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems 3 Doklady Mathematics 3 Revista Matemática Complutense 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Communications on Pure and Applied Analysis 3 Analysis and Applications (Singapore) 3 GAMM-Mitteilungen 3 Optimization Letters 3 Mathematical Control and Related Fields 3 Advances in Nonlinear Analysis 2 Acta Mechanica 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Indiana University Mathematics Journal 2 Siberian Mathematical Journal 2 Systems & Control Letters 2 Physica D 2 Computers & Operations Research 2 Mathematical and Computer Modelling 2 Asymptotic Analysis 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Scientific Computing 2 The Journal of Geometric Analysis 2 Applications of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 International Journal of Robust and Nonlinear Control 2 SIAM Journal on Optimization 2 Journal of Mathematical Imaging and Vision 2 Computational Optimization and Applications 2 Computational and Applied Mathematics 2 Top 2 Journal of Inequalities and Applications 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of the European Mathematical Society (JEMS) 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Milan Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Oberwolfach Reports 2 Boundary Value Problems 2 Proyecciones 2 Discrete and Continuous Dynamical Systems. Series S 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM ...and 98 more Serials all top 5 Cited in 45 Fields 393 Calculus of variations and optimal control; optimization (49-XX) 309 Partial differential equations (35-XX) 234 Mechanics of deformable solids (74-XX) 91 Numerical analysis (65-XX) 61 Systems theory; control (93-XX) 59 Fluid mechanics (76-XX) 47 Real functions (26-XX) 45 Functional analysis (46-XX) 45 Operations research, mathematical programming (90-XX) 29 Optics, electromagnetic theory (78-XX) 24 Measure and integration (28-XX) 20 Ordinary differential equations (34-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Operator theory (47-XX) 15 Probability theory and stochastic processes (60-XX) 14 Classical thermodynamics, heat transfer (80-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Integral equations (45-XX) 11 Computer science (68-XX) 10 Functions of a complex variable (30-XX) 9 Biology and other natural sciences (92-XX) 8 Mechanics of particles and systems (70-XX) 7 Convex and discrete geometry (52-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Quantum theory (81-XX) 5 Difference and functional equations (39-XX) 5 General topology (54-XX) 5 Information and communication theory, circuits (94-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.