A posteriori error estimates with point sources in fractional sobolev spaces. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, (33)4:1018-1042, WILEY, July 2017. [PUMA: from:mhartmann ians unibibliografie wos]
An asymptotic-preserving method for a relaxation of the Navier-Stokes-Korteweg equations. JOURNAL OF COMPUTATIONAL PHYSICS, (335):387-403, ACADEMIC PRESS INC ELSEVIER SCIENCE, April 2017. [PUMA: from:mhartmann ians unibibliografie wos]
Reduced relative entropy techniques for a posteriori analysis of multiphase problems in elastodynamics. IMA JOURNAL OF NUMERICAL ANALYSIS, (36)4:1685-1714, OXFORD UNIV PRESS, October 2016. [PUMA: from:mhartmann ians mult unibibliografie wos]
Finite-volume schemes for Friedrichs systems with involutions. APPLIED MATHEMATICS AND COMPUTATION, (272)2:420-439, ELSEVIER SCIENCE INC, January 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Uncertainty quantification for linear hyperbolic equations with stochastic process or random field coefficients. APPLIED NUMERICAL MATHEMATICS, (121):38-51, ELSEVIER SCIENCE BV, November 2017. [PUMA: from:mhartmann ians unibibliografie wos]
The localized reduced basis multiscale method for two-phase flows in porous media. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, (102)5, SI:1018-1040, WILEY-BLACKWELL, May 2015. [PUMA: from:mhartmann ians mult unibibliografie wos]
flow control in gas networks: exact controllability to a given demand (vol 34, pg 745, 2011). MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (38)5:1001-1004, WILEY-BLACKWELL, March 2015. [PUMA: from:mhartmann ians unibibliografie wos]
A HLL-type Riemann solver for two-phase flow with surface forces and phase transitions. APPLIED NUMERICAL MATHEMATICS, (108):256-270, ELSEVIER SCIENCE BV, October 2016. [PUMA: from:mhartmann ians unibibliografie wos]
A REDUCED BASIS KALMAN FILTER FOR PARAMETRIZED PARTIAL DIFFERENTIAL EQUATIONS. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, (22)3:625-669, EDP SCIENCES S A, July 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Certified PDE-constrained parameter optimization using reduced basis surrogate models for evolution problems. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, (60)3:753-787, SPRINGER, April 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Partition of unity interpolation using stable kernel-based techniques. APPLIED NUMERICAL MATHEMATICS, (116)SI:95-107, ELSEVIER SCIENCE BV, June 2017. [PUMA: from:mhartmann ians unibibliografie wos]
Relative entropy in multi-phase models of 1d elastodynamics: Convergence of a non-local to a local model. JOURNAL OF DIFFERENTIAL EQUATIONS, (258)10:3589-3606, ACADEMIC PRESS INC ELSEVIER SCIENCE, May 2015. [PUMA: from:mhartmann ians unibibliografie wos]
A POD-EIM reduced two-scale model for precipitation in porous media. MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, (20)4:323-344, TAYLOR & FRANCIS INC, July 2016. [PUMA: from:mhartmann ians unibibliografie wos]
A study on iterative methods for solving Richards' equation. COMPUTATIONAL GEOSCIENCES, (20)2:341-353, SPRINGER, April 2016. [PUMA: from:mhartmann ians unibibliografie wos]
The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, (219)2:701-718, SPRINGER, February 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Stability properties of the Euler-Korteweg system with nonmonotone pressures. APPLICABLE ANALYSIS, (96)9, SI:1528-1546, TAYLOR & FRANCIS LTD, 2017. [PUMA: from:mhartmann ians unibibliografie wos]
Approximation of eigenfunctions in kernel-based spaces. ADVANCES IN COMPUTATIONAL MATHEMATICS, (42)4:973-993, SPRINGER, August 2016. [PUMA: from:mhartmann ians unibibliografie wos]
On the Robin-Transmission Boundary Value Problems for the Nonlinear Darcy-Forchheimer-Brinkman and Navier-Stokes Systems. JOURNAL OF MATHEMATICAL FLUID MECHANICS, (18)2:293-329, SPRINGER BASEL AG, June 2016. [PUMA: from:mhartmann ians unibibliografie wos]
A stochastically and spatially adaptive parallel scheme for uncertain and nonlinear two-phase flow problems. COMPUTATIONAL GEOSCIENCES, (19)2:269-284, SPRINGER, April 2015. [PUMA: from:mhartmann ians mult unibibliografie wos]
On the transmission problems for the Oseen and Brinkman systems on Lipschitz domains in compact Riemannian manifolds. MATHEMATISCHE NACHRICHTEN, (289)4:471-484, WILEY-V C H VERLAG GMBH, March 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Detecting stochastic inclusions in electrical impedance tomography. INVERSE PROBLEMS, (33)11IOP PUBLISHING LTD, November 2017. [PUMA: from:mhartmann ians unibibliografie wos]
Poisson-Transmission Problems for -Perturbations of the Stokes System on Lipschitz Domains in Compact Riemannian Manifolds. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, (27)3-4:823-839, SPRINGER, December 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Preface to the special issue ``Recent Advances in Numerical Methods for Hyperbolic Partial Differential Equations''. APPLIED MATHEMATICS AND COMPUTATION, (272)2:235-236, ELSEVIER SCIENCE INC, January 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Poisson problems for semilinear Brinkman systems on Lipschitz domains in R-n. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, (66)3:833-864, SPRINGER BASEL AG, June 2015. [PUMA: from:mhartmann ians unibibliografie wos]
A coupling between a 1D compressible-incompressible limit and the 1D p-system in the non smooth case. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, (47)1:381-396, SPRINGER HEIDELBERG, March 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Surrogate modeling of multiscale models using kernel methods. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, (101)1:1-28, WILEY-BLACKWELL, January 2015. [PUMA: from:mhartmann ians mult unibibliografie wos]
Relative entropy based error estimates for discontinuous Galerkin schemes. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, (47)1:359-372, SPRINGER HEIDELBERG, March 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Rapid Solution of Minimal Riesz Energy Problems. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, (32)6:1535-1552, WILEY-BLACKWELL, November 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Relative Energy for the Korteweg Theory and Related Hamiltonian Flows in Gas Dynamics. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, (223)3:1427-1484, SPRINGER, March 2017. [PUMA: from:mhartmann ians unibibliografie wos]
ENERGY CONSISTENT DISCONTINUOUS GALERKIN METHODS FOR A QUASI-INCOMPRESSIBLE DIFFUSE TWO PHASE FLOW MODEL. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, (49)1:275-301, EDP SCIENCES S A, January 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Bed of polydisperse viscous spherical drops under thermocapillary effects. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, (67)4SPRINGER BASEL AG, August 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Perturbation solutions for the finite radially symmetric Stefan problem. INTERNATIONAL JOURNAL OF THERMAL SCIENCES, (104):386-395, ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, June 2016. [PUMA: from:mhartmann ians mult unibibliografie wos]
A posteriori analysis for dynamic model adaptation in convection-dominated problems. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, (27)13:2381-2423, WORLD SCIENTIFIC PUBL CO PTE LTD, December 2017. [PUMA: from:mhartmann ians unibibliografie wos]
A relaxation Riemann solver for compressible two-phase flow with phase transition and surface tension. APPLIED NUMERICAL MATHEMATICS, (95)SI:267-279, ELSEVIER SCIENCE BV, September 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Trigonometric collocation for nonlinear Riemann-Hilbert problems on doubly connected domains. IMA JOURNAL OF NUMERICAL ANALYSIS, (35)2:834-858, OXFORD UNIV PRESS, April 2015. [PUMA: from:mhartmann ians unibibliografie wos]
A POD-EIM reduced two-scale model for crystal growth. ADVANCES IN COMPUTATIONAL MATHEMATICS, (41)5, SI:987-1013, SPRINGER, October 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Optimal grading of the newest vertex bisection and H-1-stability of the L-2-projection. IMA JOURNAL OF NUMERICAL ANALYSIS, (36)3:1217-1241, OXFORD UNIV PRESS, July 2016. [PUMA: from:mhartmann ians unibibliografie wos]
Relaxation of the Navier-Stokes-Korteweg equations for compressible two-phase flow with phase transition. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, (79)12:615-639, WILEY-BLACKWELL, December 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. ADVANCES IN COMPUTATIONAL MATHEMATICS, (41)5, SI:1131-1157, SPRINGER, October 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Low Mach asymptotic-preserving scheme for the Euler-Korteweg model. IMA JOURNAL OF NUMERICAL ANALYSIS, (35)2:802-833, OXFORD UNIV PRESS, April 2015. [PUMA: from:mhartmann ians unibibliografie wos]
THE COMPUTATION OF NONCLASSICAL SHOCK WAVES IN POROUS MEDIA WITH A HETEROGENEOUS MULTISCALE METHOD: THE MULTIDIMENSIONAL CASE. MULTISCALE MODELING & SIMULATION, (13)4:1507-1541, SIAM PUBLICATIONS, 2015. [PUMA: from:mhartmann ians unibibliografie wos]
Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (38)17:3615-3628, WILEY-BLACKWELL, November 2015. [PUMA: unibibliografie wos]
Upscaling of a tri-phase phase-field model for precipitation in porous media. IMA JOURNAL OF APPLIED MATHEMATICS, (81)5:898-939, OXFORD UNIV PRESS, October 2016. [PUMA: mult unibibliografie wos]
Integral potential method for a transmission problem with Lipschitz interface in R-3 for the Stokes and Darcy-Forchheimer-Brinkman PDE systems. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, (67)5SPRINGER BASEL AG, October 2016. [PUMA: unibibliografie wos]
A sharp interface method for compressible liquid-vapor flow with phase transition and surface tension. JOURNAL OF COMPUTATIONAL PHYSICS, (336):347-374, ACADEMIC PRESS INC ELSEVIER SCIENCE, May 2017. [PUMA: mult unibibliografie wos]
A HYBRID MODEL FOR TRAFFIC FLOW AND CROWD DYNAMICS WITH RANDOM INDIVIDUAL PROPERTIES. MATHEMATICAL BIOSCIENCES AND ENGINEERING, (12)2:393-413, AMER INST MATHEMATICAL SCIENCES, April 2015. [PUMA: unibibliografie wos]
Computational uncertainty quantification for a clarifier-thickener model with several random perturbations: A hybrid stochastic Galerkin approach. COMPUTERS & CHEMICAL ENGINEERING, (89):11-26, PERGAMON-ELSEVIER SCIENCE LTD, June 2016. [PUMA: mult unibibliografie wos]
On the mixed problem for the semilinear Darcy-Forchheimer-Brinkman PDE system in Besov spaces on creased Lipschitz domains. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, (40)18:7780-7829, WILEY, December 2017. [PUMA: unibibliografie wos]
A posteriori error estimates with point sources in fractional sobolev spaces. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, (33)4:1018-1042, WILEY, July 2017. [PUMA: unibibliografie wos]
A Hyperbolic-Elliptic Model Problem for Coupled Surface-Subsurface Flow. TRANSPORT IN POROUS MEDIA, (114)2, SI:425-455, SPRINGER, September 2016. [PUMA: unibibliografie wos]