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Topic: articles
Publications for topic "articles"
2014
| , and , A regularity criterion for the weak solutions to the Navier–Stokes–Fourier system (2014), in: Archive for Rational Mechanics and Analysis, 212:1(219–239) |
[DOI] |
2013
| , Mathematical analysis of fluids in motion: From well-posedness to model reduction (2013), in: Revista Matemática Complutense, 26:2(299–340) |
[DOI] |
2014
| , and , Distribution of the discretization and algebraic error in numerical solution of partial differential equations (2014), in: Linear Algebra and its Applications, 449(89–114) |
[DOI] |
2013
| , Scaling and singular limits in the equations of continuum fluid mechanics (2013), in: Methods and Applications of Analysis, 20:2(115–140) |
[DOI] |
2015
| , , and , Existence of solutions for the anti-plane stress for a new class of "strain-limiting" elastic bodies (2015), in: Calculus of Variations and PDE's, 54:2(2115--2147) |
[DOI] |
2013
| , , and , Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems (2013), in: GAMM Mitteilungen, 36:1(102-129) |
[DOI] |
2014
| and , Composite convergence bounds based on Chebyshev polynomials and finite precision conjugate gradient computations (2014), in: Numerical Algoritms, 65:4(759-782) |
[DOI] |
| , Relative entropies, dissipative solutions, and singular limits of complete fluid systems, in: Hyperbolic Problems: Theory, Numerics, Applications, pages 11--28, AIMS, Springfield, USA, 2014 |
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| and , Scale interactions in compressible rotating fluids (2014), in: Annali di Matematica Pura ed Applicata, 193:6(1703–1725) |
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| and , Multiple scales and singular limits for compressible rotating fluids with general initial data (2014), in: Communications in Partial Differential Equations, 39:6(1104–1127) |
[DOI] |
| , , and , On investigating GMRES convergence using unitary matrices (2014), in: Linear Algebra and its Applications, 450:1(83-107) |
[DOI] |
2013
| and , On models for viscoelastic materials that are mechanically incompressible and thermally compressible or expansible and their Oberbeck–Boussinesq type approximations (2013), in: Mathematical Models and Methods in Applied Sciences, 23:10(1761--1794) |
[DOI] |
2014
| and , Existence Analysis For a Model Describing Flow of an Incompressible Chemically Reacting Non-Newtonian Fluid (2014), in: SIAM Journal on Mathematical Analysis, 46:5(3223--3240) |
[DOI] |
2015
| , and , Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids (2015), in: Journal of Scientific Computing, 64:1(1–34) |
[DOI] |
| , and , Analysis and approximation of a strain-limiting nonlinear elastic model (2015), in: Mathematics and Mechanics of Solids, 20:1(92–118) |
[DOI] |
| , and , Weighted integral techniques and C-alpha-estimates for a class of elliptic systems with p-growth (2015), in: Annali di Matematica Pura ed Applicata, 194:4(1025--1069) |
[DOI] |
| , and , A thermodynamically compatible model for describing the response of asphalt binders (2015), in: International Journal of Pavement Engineering, 16:4(297-314) |
[DOI] |
2014
| , , and , On the natural structure of thermodynamic potentials and fluxes in the theory of chemically non-reacting binary mixtures (2014), in: Acta Mechanica, 225:11(3157-3186) |
[DOI] |
| , , , and , Ice melting and downward transport of meltwater by two-phase flow in Europa's ice shell (2014), in: JGR-Planets, 119:3(532-549) |
[DOI] |
2015
| and , Numerical methods for solving the Cahn-Hilliard equation and its applicability to related Energy-based models (2015), in: Archives of Computational Methods in Engineering, 22:2(269--289) |
[DOI] |
2014
| , and , Rotating compressible fluids under strong stratification (2014), in: Nonlinear Analysis: Real World Applications, 19(11–18) |
[DOI] |
2015
| and , Polynomial-degree-robust a posteriori estimates in a unified setting for conforming, nonconforming, discontinuous Galerkin, and mixed discretizations (2015), in: SIAM Journal on Numerical Analysis, 53:2(1058–1081) |
[DOI] |
2014
| , and , Flow of a Burgers fluid due to time varying loads on deforming boundaries (2014), in: Journal of Non-Newtonian Fluid Mechanics, 210(66--77) |
[DOI] |
2016
| , Convergence theory of exact interpolation scheme for computing several eigenvectors (2016), in: Numerical Linear Algebra with Applications, 23:2(373--390) |
[DOI] |
2014
| and , The motion of a piezoviscous fluid under a surface load (2014), in: International Journal of Non-Linear Mechanics, 60:4(23-32) |
[DOI] |
2015
| , and , A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity (2015), in: Journal of Mathematical Analysis and Applications, 424:1(785-801) |
[DOI] |
| , and , Global weak solutions to a class of non-Newtonian compressible fluids (2015), in: Math. Methods Appl. Sci., 38:16(3482–3494) |
[DOI] |
2013
| , Fourier Analysis of the Aggregation Based Algebraic Multigrid for Stochastic Matrices (2013), in: SIAM. J. Matrix Anal. & Appl., 34:4(1596–1610) |
[DOI] |
2015
| , and , Band generalization of the Golub--Kahan bidiagonalization, generalized Jacobi matrices, and the core problem (2015), in: SIAM Journal on Matrix Analysis and Applications, 36:2(417–434) |
[DOI] |
2016
| , and , A mixed finite element method for Darcy’s equations with pressure dependent porosity (2016), in: Mathematics of Computation, 85(1--33) |
[DOI] |
2014
| , , and , On elastic solids with limiting small strain: modelling and analysis (2014), in: EMS Surveys in Mathematical Sciences, 1:2(283–332) |
[DOI] |
2015
| , and , On generalized Stokes' and Brinkman's equations with pressure- and shear-dependent viscosity and drag coefficient (2015), in: Nonlinear Anal. Real World Appl., 26(109--132) |
[DOI] |
2014
| , and , Water transport in planetary ice layers - a parametric study (2014), in: Geophys. Astro. Fluid., 108:6(639-666) |
[DOI] |
2015
| and , Approximation of Smectic-A liquid crystals (2015), in: Computer Methods in Applied Mechanics and Engineering, 290:15(342--361) |
[DOI] |
2014
| and , Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models (2014), in: Computers & Mathematics with Applications, 68:8(821–846) |
[DOI] |
2015
| , and , Multi-phase modeling of non-isothermal reactive flow in fluidized bed reactors (2015), in: Journal of Computational and Applied Mathematics, 289(282-295) |
[DOI] |
| and , Tensorial implicit constitutive relations in mechanics of incompressible non-Newtonian fluids (2015), in: Journal of non-Newtonian Fluid Mechanics, 216(13–21) |
[DOI] |
2016
| , and , On PDE analysis of flows of quasi-incompressible fluids (2016), in: Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM), 96:4(491–508) |
[DOI] |
2015
| , and , Old and new results in regularity theory for diagonal elliptic systems via blow up techniques (2015), in: J. Differential Equations, 259:11(6528--6572) |
[DOI] |
| , , and , Landform assemblage in Isidis Planitia, Mars: Evidence for a 3 Ga old polythermal ice sheet. (2015), in: Earth and Planetary Science Letters, 411(253-267) |
[DOI] [URL] |
| , , and , A 3 Ga old polythermal ice sheet in Isidis Planitia, Mars: dynamics and thermal regime inferred from numerical modeling (2015), in: Earth and Planetary Science Letters, 426(176-190) |
[DOI] |
| , , , , and , Despinning and shape evolution of Saturn's moon Iapetus triggered by a giant impact (2015), in: Icarus, 252(454-465) |
[DOI] |
2016
| , Hierarchical preconditioning for the stochastic Galerkin method: upper bounds to the strengthened CBS constants (2016), in: Computers & Mathematics with Applications, 71:4(949--964) |
[DOI] |
| , , and , Analysis of a viscosity model for concentrated polymers (2016), in: Mathematical Models and Methods in Applied Sciences (M3AS), 26:8(1599–1648) |
[DOI] |
| , and , Existence, uniqueness and optimal regularity results for very weak solutions to nonlinear elliptic systems (2016), in: Anal. PDE, 9:5(1115--1151) |
[DOI] |
2015
| and , Homogenization of the stationary compressible Navier-Stokes equations in domains with tiny holes (2015), in: Journal of Mathematical Fluid Mechanics, 17:2(381–392) |
[DOI] |
| , and , Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem (2015), in: SIAM Journal on Matrix Analysis and Applications, 36:2(417-434) |
[DOI] [URL] |
| and , Large data existence theory for unsteady flows of fluids with pressure- and shear-dependent viscosities (2015), in: Nonlinear Anal. Theory Methods Appl., 127(94--127) |
[DOI] |
| and , Perspectives on using implicit type constitutive relations in the modelling of the behaviour of non-Newtonian fluids (2015), in: AIP Conf. Proc., 1662(020003) |
[DOI] |
| , , and , Vibrations of a lumped parameter mass-spring-dashpot system wherein the spring is described by a non-invertible elongation-force constitutive function (2015), in: International Journal of Non-Linear Mechanics, 76(154–163) |
[DOI] |
2016
| and , Squeeze flow of a piezoviscous fluid (2016), in: Applied Mathematics and Computation, 274(414–429) |
[DOI] |
2017
| , , and , On the existence of integrable solutions to nonlinear elliptic systems and variational problems with linear growth (2017), in: Archive for Rational Mechanics and Analysis, 225:2(717--769) |
[DOI] [URL] |
2016
| , and , Systems describing electrothermal effects with p(x)-Laplacian like structure for discontinuous variable exponents (2016), in: SIAM J. Math. Anal.,, 48:5(3496--3514) |
[DOI] |
2017
| , and , The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system (2017), in: ESAIM: Control, Optimisation and Calculus of Variations, 23:3(851-868) |
[DOI] |
2016
| , and , Dissipative weak solutions to compressible Navier–Stokes–Fokker–Planck systems with variable viscosity coefficients (2016), in: Journal of Mathematical Analysis and Applications, 443:1(322–351) |
[DOI] |
2015
| , , , , , , , , and , The FEniCS Project Version 1.5 (2015), in: Archive of Numerical Software, 3:100 |
[DOI] [URL] |
2016
| and , Existence of very weak solutions to elliptic systems of p-Laplacian type (2016), in: Calc. Var. Partial Differential Equations, 55:3(55:52) |
[DOI] |
2015
| , and , On a variant of the Maxwell and Oldroyd-B models within the context of a thermodynamic basis (2015), in: International Journal of Non-Linear Mechanics, 76(42--47) |
[DOI] |
2016
| , and , A thermodynamically compatible model for describing asphalt binders: solutions of problems (2016), in: International Journal of Pavement Engineering, 17:6(550-564) |
[DOI] |
2015
| , , , and , Multicomponent model of deformation and detachment of a biofilm under fluid flow (2015), in: Journal of the Royal Society Interface, 12(20150045) |
[DOI] |
2016
| , and , On the influence of wavy riblets on the slip behaviour of viscous fluids (2016), in: Zeitschrift für angewandte Mathematik und Physik (ZAMP), 67:2(67:27) |
[DOI] |
2017
| , and , Analysis of an augmented mixed-FEM for the Navier-Stokes problem (2017), in: Mathematics of Computation, 86:304(589–615) |
[DOI] |
2016
| , , and , An augmented mixed finite element method for the Navier-Stokes equations with variable viscosity (2016), in: SIAM Journal on Numerical Analysis, 54:2(1069–1092) |
[DOI] |
| , and , Linear unconditional energy-stable splitting schemes for a phase-field model for Nematic-Isotropic flows with anchoring effects (2016), in: International Journal for Numerical Methods in Engineering (IJNME), 108:6(535–567) |
[DOI] |
2017
| and , Internal flows of incompressible fluids subject to stick-slip boundary conditions (2017), in: Vietnam Journal of Mathematics, 45(2017--220) |
[DOI] |
2016
| , and , Factorized approximate inverses with adaptive dropping (2016), in: SIAM Journal on Scientific Computing, 38:3(A1807–A1820) |
[DOI] |
| and , On the response of physical systems governed by non-linear ordinary differential equations to step input (2016), in: International Journal of Non-Linear Mechanics, 81(207–221) |
[DOI] |
| , and , Euler–Bernoulli type beam theory for elastic bodies with nonlinear response in the small strain range (2016), in: Archives of Mechanics, 68:1(3-25) |
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| and , On Unsteady Internal Flows of Bingham Fluids Subject to Threshold Slip on the Impermeable Boundary, in: Recent Developments of Mathematical Fluid Mechanics, pages 135--156, Birkhauser, 2016 |
[DOI] |
2017
| , and , Thermistor systems of p(x)-Laplace-type with discontinuous exponents via entropy solutions (2017), in: Discrete and Continuous Dynamical Systems - Series S, 10:4(697--713) |
[DOI] |
2016
| , and , A unified theory for some non Newtonian fluids under singular forcing (2016), in: SIAM J. Math. Anal, 48:6(4241--4267) |
[DOI] |
2017
| , and , On unified theory for scalar conservation laws with fluxes and sources being discontinuous with respect to the unknown (2017), in: Journal of Differential Equations, 262:1(313--364) |
[DOI] |
| , and , Globally Lipschitz minimizers for variational problems with linear growth (2017), in: ESAIM: COCV |
[DOI] |
2016
| , and , On the response of nonlinear viscoelastic materials in creep and stress relaxation experiments in the lubricated squeeze flow setting (2016), in: Physics of Fluids, 28:10(103102) |
[DOI] |
| and , Preconditioning of linear least squares by robust incomplete factorization for implicitly held normal equations (2016), in: SIAM Journal on Scientific Computing, 38:6(C603–C623) |
[DOI] |
| and , Partially strong transparency conditions and a singular localization method In geometric optics (2016), in: Archive for Rational Mechanics and Analysis, 222:1(245–283) |
[DOI] |
| , On uniform estimates for Laplace equation in balls with small holes (2016), in: Calculus of Variations and Partial Differential Equations, 55:5(110) |
[DOI] |
| , and , $hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems (2016), in: SIAM Journal on Scientific Computing, 38:5(A3220–A3246) |
[DOI] |
2017
| , and , An adaptive multilevel factorized sparse approximate inverse preconditioning (2017), in: Advances in Engineering Software, 113(19-24) |
[DOI] |
2016
| and , On a parabolic-hyperbolic filter for multicolor image noise reduction (2016), in: Evolution Equations and Control Theory (EECT), 5:2(251-272) |
[DOI] |
| and , Multidimensional thermoelasticity for nonsimple materials -- well-posedness and long-time behavior (2016), in: Applicable Analysis |
[URL] |
| , , and , Effect of the tiger stripes on the deformation of Saturn's moon Enceladus (2016), in: Geophysical Research Letters, 43:14(7417--7423) |
[DOI] |
| , and , On power-law fluids with the power-law index proportional to the pressure (2016), in: Applied Mathematics Letters, 62(118--123) |
[DOI] |
| , and , Response of a class of mechanical oscillators described by a novel system of differential-algebraic equations (2016), in: Applications of Mathematics, 61:1(79--102) |
[DOI] |
| and , Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids, in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Publishing, 2016 |
[DOI] |
2017
| , and , Colombeau algebra as a mathematical tool for investigating step load and step deformation of systems of nonlinear springs and dashpots (2017), in: Zeitschrift für angewandte Mathematik und Physik, 68:24 |
[DOI] |
2018
| and , On a Navier-Stokes-Fourier-like system capturing transitions between viscous and inviscid fluid regimes and between no-slip and perfect-slip boundary conditions (2018), in: Nonlinear Analysis: Real World Applications, 41(152--178) |
[DOI] |
2017
| , , , and , On thermodynamics of incompressible viscoelastic rate type fluids with temperature dependent material coefficients (2017), in: International Journal of Non-Linear Mechanics, 95(193–208) |
[DOI] |
| and , Viscoelastic rate type fluids with temperature dependent material parameters – stability of the rest state (2017), in: AIP Conf. Proc., 1843(020004) |
[DOI] |