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Vanja Nikolic
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2020 – today
- 2024
- [i7]Benjamin Dörich, Vanja Nikolic:
Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit. CoRR abs/2401.06492 (2024) - [i6]Vanja Nikolic, Teresa Rauscher:
The Westervelt-Rayleigh-Plesset model of ultrasound contrast imaging with microbubbles: analysis and simulation. CoRR abs/2408.06108 (2024) - 2023
- [i5]Vanja Nikolic:
Asymptotic-preserving finite element analysis of Westervelt-type wave equations. CoRR abs/2303.10743 (2023) - 2022
- [j7]Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolic, Mabel L. Rajendran, Barbara I. Wohlmuth:
Determining kernels in linear viscoelasticity. J. Comput. Phys. 464: 111331 (2022) - [j6]Harald Garcke, Sourav Mitra, Vanja Nikolic:
A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media. SIAM J. Control. Optim. 60(4): 2297-2319 (2022) - [j5]Barbara Kaltenbacher, Vanja Nikolic:
Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics. SIAM J. Math. Anal. 54(2): 1593-1622 (2022) - [i4]Mostafa Meliani, Vanja Nikolic:
Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis. CoRR abs/2209.02737 (2022) - 2021
- [j4]Barbara Kaltenbacher, Vanja Nikolic:
The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations. SIAM J. Appl. Math. 81(4): 1461-1482 (2021) - [i3]Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth:
A hybrid discontinuous Galerkin method for nonlinear elasto-acoustic coupling. CoRR abs/2102.04311 (2021) - [i2]Barbara Kaltenbacher, Ustim Khristenko, Vanja Nikolic, Rajendran Mabel Lizzy, Barbara I. Wohlmuth:
Determining kernels in linear viscoelasticity. CoRR abs/2112.14071 (2021) - 2020
- [j3]Paola F. Antonietti, Ilario Mazzieri, Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth:
A high-order discontinuous Galerkin method for nonlinear sound waves. J. Comput. Phys. 415: 109484 (2020)
2010 – 2019
- 2019
- [j2]Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth:
Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. J. Comput. Phys. 388: 279-299 (2019) - [j1]Vanja Nikolic, Barbara I. Wohlmuth:
A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation. SIAM J. Numer. Anal. 57(4): 1897-1918 (2019) - [i1]Paola F. Antonietti, Ilario Mazzieri, Markus Muhr, Vanja Nikolic, Barbara I. Wohlmuth:
A high-order discontinuous Galerkin method for nonlinear sound waves. CoRR abs/1912.02281 (2019)
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