Edit Profile (opens in new tab) Nikolić, Vanja Co-Author Distance Author ID: nikolic.vanja Published as: Nikolić, Vanja; Nikolic, Vanja Homepage: https://www-m2.ma.tum.de/bin/view/Allgemeines/VanjaNikolic External Links: MGP · ResearchGate · dblp Documents Indexed: 34 Publications since 2015, including 8 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 9 Reviews Co-Authors: 21 Co-Authors with 32 Joint Publications 822 Co-Co-Authors all top 5 Co-Authors 3 single-authored 12 Kaltenbacher, Barbara 8 Wohlmuth, Barbara I. 6 Said-Houari, Belkacem 4 Meliani, Mostafa 4 Muhr, Markus 2 Fritz, Marvin 1 Antonietti, Paola Francesca 1 Carillo, Sandra 1 Dörich, Benjamin 1 Garcke, Harald 1 Jordan, Pedro M. 1 Khristenko, Ustim 1 Lima, Ernesto A. B. F. 1 Manns, Paul 1 Mazzieri, Ilario 1 Mitra, Sourav 1 Oden, John Tinsley 1 Rajendran, Mabel Lizzy 1 Thalhammer, Mechthild 1 Winkler, Michael 1 Wunderlich, Linus all top 5 Serials 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Computational Physics 2 IMA Journal of Numerical Analysis 2 Applied Mathematics and Optimization 2 Journal of Differential Equations 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Meccanica 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of Mathematical Fluid Mechanics 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Evolution Equations and Control Theory 1 Pure and Applied Functional Analysis all top 5 Fields 27 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 10 Numerical analysis (65-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 150 times in 91 Documents Cited by ▼ Year ▼ The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. Zbl 1427.35206 Kaltenbacher, Barbara; Nikolić, Vanja 29 2019 Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation. Zbl 1425.35075 Fritz, Marvin; Lima, Ernesto A. B. F.; Nikolić, Vanja; Oden, J. Tinsley; Wohlmuth, Barbara 14 2019 Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy. Zbl 1378.49051 Nikolić, Vanja; Kaltenbacher, Barbara 9 2017 On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity. Zbl 1458.35347 Nikolić, Vanja; Said-Houari, Belkacem 9 2021 A high-order discontinuous Galerkin method for nonlinear sound waves. Zbl 1440.65128 Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 9 2020 Vanishing relaxation time limit of the Jordan-Moore-Gibson-Thompson wave equation with Neumann and absorbing boundary conditions. Zbl 1461.35156 Kaltenbacher, Barbara; Nikolić, Vanja 9 2020 The inviscid limit of third-order linear and nonlinear acoustic equations. Zbl 1475.35282 Kaltenbacher, Barbara; Nikolić, Vanja 9 2021 Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains. Zbl 1455.35279 Nikolić, Vanja; Said-Houari, Belkacem 8 2021 A priori error estimates for the finite element approximation of Westervelt’s quasi-linear acoustic wave equation. Zbl 1476.65247 Nikolić, Vanja; Wohlmuth, Barbara 8 2019 Isogeometric shape optimization for nonlinear ultrasound focusing. Zbl 1423.35315 Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara; Wunderlich, Linus 7 2019 On higher regularity for the westervelt equation with strong nonlinear damping. Zbl 1353.35093 Nikolić, Vanja; Kaltenbacher, Barbara 6 2016 Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions. Zbl 1315.35059 Nikolić, Vanja 6 2015 Efficient time integration methods based on operator splitting and application to the Westervelt equation. Zbl 1327.76126 Kaltenbacher, Barbara; Nikolic, Vanja; Thalhammer, Mechthild 6 2015 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433 Kaltenbacher, Barbara; Nikolić, Vanja 6 2022 Well-posedness and numerical treatment of the blackstock equation in nonlinear acoustics. Zbl 1421.35217 Fritz, Marvin; Nikolić, Vanja; Wohlmuth, Barbara 5 2018 Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. Zbl 1452.76223 Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 4 2019 Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation. Zbl 1478.35041 Nikolić, Vanja; Said-Houari, Belkacem 2 2021 Determining kernels in linear viscoelasticity. Zbl 07540364 Kaltenbacher, Barbara; Khristenko, Ustim; Nikolić, Vanja; Rajendran, Mabel Lizzy; Wohlmuth, Barbara 1 2022 The Westervelt-Pennes model of nonlinear thermoacoustics: global solvability and asymptotic behavior. Zbl 1496.35089 Nikolić, Vanja; Said-Houari, Belkacem 1 2022 Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics. Zbl 1485.35296 Kaltenbacher, Barbara; Nikolić, Vanja 1 2022 A discontinuous Galerkin coupling for nonlinear elasto-acoustics. Zbl 1512.65215 Muhr, Markus; Wohlmuth, Barbara; Nikolić, Vanja 1 2023 A discontinuous Galerkin coupling for nonlinear elasto-acoustics. Zbl 1512.65215 Muhr, Markus; Wohlmuth, Barbara; Nikolić, Vanja 1 2023 Time-fractional Moore-Gibson-Thompson equations. Zbl 1491.35433 Kaltenbacher, Barbara; Nikolić, Vanja 6 2022 Determining kernels in linear viscoelasticity. Zbl 07540364 Kaltenbacher, Barbara; Khristenko, Ustim; Nikolić, Vanja; Rajendran, Mabel Lizzy; Wohlmuth, Barbara 1 2022 The Westervelt-Pennes model of nonlinear thermoacoustics: global solvability and asymptotic behavior. Zbl 1496.35089 Nikolić, Vanja; Said-Houari, Belkacem 1 2022 Parabolic approximation of quasilinear wave equations with applications in nonlinear acoustics. Zbl 1485.35296 Kaltenbacher, Barbara; Nikolić, Vanja 1 2022 On the Jordan-Moore-Gibson-Thompson wave equation in hereditary fluids with quadratic gradient nonlinearity. Zbl 1458.35347 Nikolić, Vanja; Said-Houari, Belkacem 9 2021 The inviscid limit of third-order linear and nonlinear acoustic equations. Zbl 1475.35282 Kaltenbacher, Barbara; Nikolić, Vanja 9 2021 Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains. Zbl 1455.35279 Nikolić, Vanja; Said-Houari, Belkacem 8 2021 Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation. Zbl 1478.35041 Nikolić, Vanja; Said-Houari, Belkacem 2 2021 A high-order discontinuous Galerkin method for nonlinear sound waves. Zbl 1440.65128 Antonietti, Paola F.; Mazzieri, Ilario; Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 9 2020 Vanishing relaxation time limit of the Jordan-Moore-Gibson-Thompson wave equation with Neumann and absorbing boundary conditions. Zbl 1461.35156 Kaltenbacher, Barbara; Nikolić, Vanja 9 2020 The Jordan-Moore-Gibson-Thompson equation: well-posedness with quadratic gradient nonlinearity and singular limit for vanishing relaxation time. Zbl 1427.35206 Kaltenbacher, Barbara; Nikolić, Vanja 29 2019 Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation. Zbl 1425.35075 Fritz, Marvin; Lima, Ernesto A. B. F.; Nikolić, Vanja; Oden, J. Tinsley; Wohlmuth, Barbara 14 2019 A priori error estimates for the finite element approximation of Westervelt’s quasi-linear acoustic wave equation. Zbl 1476.65247 Nikolić, Vanja; Wohlmuth, Barbara 8 2019 Isogeometric shape optimization for nonlinear ultrasound focusing. Zbl 1423.35315 Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara; Wunderlich, Linus 7 2019 Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. Zbl 1452.76223 Muhr, Markus; Nikolić, Vanja; Wohlmuth, Barbara 4 2019 Well-posedness and numerical treatment of the blackstock equation in nonlinear acoustics. Zbl 1421.35217 Fritz, Marvin; Nikolić, Vanja; Wohlmuth, Barbara 5 2018 Sensitivity analysis for shape optimization of a focusing acoustic lens in lithotripsy. Zbl 1378.49051 Nikolić, Vanja; Kaltenbacher, Barbara 9 2017 On higher regularity for the westervelt equation with strong nonlinear damping. Zbl 1353.35093 Nikolić, Vanja; Kaltenbacher, Barbara 6 2016 Local existence results for the Westervelt equation with nonlinear damping and Neumann as well as absorbing boundary conditions. Zbl 1315.35059 Nikolić, Vanja 6 2015 Efficient time integration methods based on operator splitting and application to the Westervelt equation. Zbl 1327.76126 Kaltenbacher, Barbara; Nikolic, Vanja; Thalhammer, Mechthild 6 2015 all cited Publications top 5 cited Publications all top 5 Cited by 121 Authors 19 Nikolić, Vanja 11 Kaltenbacher, Barbara 8 Said-Houari, Belkacem 8 Wohlmuth, Barbara I. 6 Deka, Bhupen 6 Lasiecka, Irena 6 Mazzieri, Ilario 5 Antonietti, Paola Francesca 5 Fritz, Marvin 5 Pata, Vittorino 4 Liverani, Lorenzo 3 Bongarti, Marcelo 3 Chen, Wenhui 3 Conti, Monica C. 3 Dell’Oro, Filippo 3 Dutta, Jogen 3 Kumar, Naresh 3 Lizama, Carlos 3 Muhr, Markus 3 Rundell, William 3 Signori, Andrea 2 Alvarez, Edgardo 2 Botti, Michele 2 Bucci, Francesca 2 Frigeri, Sergio 2 Jha, Prashant Kumar 2 Köppl, Tobias 2 Li, Shuwang 2 Liu, Chun 2 Lowengrub, John Samuel 2 Lu, Min-Jhe 2 Oden, John Tinsley 2 Quintanilla de Latorre, Ramón 2 Roy, Papri 2 Scarpa, Luca 2 Wojtylak, Michał 1 Ahmed, Tazuddin 1 Artoni, Alberto 1 Bazarra, Noelia 1 Bounadja, Hizia 1 Brunnhuber, Rainer 1 Carmo, Bruno Souza 1 Cavaterra, Cecilia 1 Charoenphon, Sutthirut 1 Dai, Feng 1 Dai, Weizhong 1 Dassi, Franco 1 de Castro, Paulo Bastos 1 Dehghan Takht Fooladi, Mehdi 1 Dekkers, Adrien 1 Dörich, Benjamin 1 Drui, Florence 1 Egorenkov, Vladimir A. 1 Eller, Matthias M. 1 Emmendoerfer, Hélio jun. 1 Ern, Alexandre 1 Facciolà, Chiara 1 Fancello, Eduardo Alberto 1 Fernández, Jose Ramon 1 Fornoni, Matteo 1 Fumagalli, Alessio 1 Garcke, Harald 1 Givoli, Dan 1 Grasselli, Maurizio 1 Hao, Wenrui 1 Hochbruck, Marlis 1 Houston, Paul 1 Huntul, Mousa J. 1 Ikehata, Ryo 1 Jamond, Olivier 1 Khodadadian, Amirreza 1 Khodygo, Vladimir 1 Lacheheb, Ilyes 1 Lam, Kei Fong 1 Liu, Bin 1 Liu, Yan 1 Loginova, Maria M. 1 Maier, Bernhard 1 Mehl, Christian 1 Mehrmann, Volker 1 Meliani, Mostafa 1 Messaoudi, Salim A. 1 Mitra, Sourav 1 Mo, Yuchang 1 Mohammadi, Vahid 1 Murillo-Arcila, Marina 1 Nguyen Huy Tuan 1 Noii, Nima 1 Parolini, Nicola 1 Pellicer, Marta 1 Pennesi, Giorgio 1 Poltri, Simone Nati 1 Racke, Reinhard 1 Rajendran, Mabel Lizzy 1 Rocca, Elisabetta 1 Rocchi, Daniele 1 Rodrigues, José H. 1 Rozanova-Pierrat, Anna 1 Scotti, Anna 1 Shao, Aili ...and 21 more Authors all top 5 Cited in 54 Serials 5 Journal of Computational Physics 5 Applied Mathematics and Optimization 4 Journal of Differential Equations 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Evolution Equations 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Discrete and Continuous Dynamical Systems. Series S 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Bulletin of Mathematical Biology 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Real World Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Evolution Equations and Control Theory 1 Acta Mechanica 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Calcolo 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Optimization 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Scientific Computing 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Computational Mathematics 1 Vietnam Journal of Mathematics 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Inverse Problems and Imaging 1 Results in Applied Mathematics all top 5 Cited in 19 Fields 74 Partial differential equations (35-XX) 29 Numerical analysis (65-XX) 27 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 14 Biology and other natural sciences (92-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 6 Systems theory; control (93-XX) 5 Operator theory (47-XX) 5 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year