Z. Zhong, K. Wang. Time-accurate stabilized finite-element model for weakly nonlinear and weakly dispersive water waves. Int. J. Numer. Meth. Fluids 57(6) (2008) DOI 10.1002/fld.1639
O. Zienkiewicz, R. Codina. A general algorithm for compressible and incompressible flow—Part I. the split, characteristic-based scheme. Int. J. Numer. Meth. Fluids 20(8-9) DOI 10.1002/fld.1650200812
M. Kouhi, E. Oñate. A stabilized finite element formulation for high-speed inviscid compressible flows using finite calculus. Int. J. Numer. Meth. Fluids 74(12) (2014) DOI 10.1002/fld.3877
U. Albocher, P. Barbone, M. Richards, A. Oberai, I. Harari. Approaches to accommodate noisy data in the direct solution of inverse problems in incompressible plane strain elasticity. Inverse Problems in Science and Engineering 22(8) (2014) DOI 10.1080/17415977.2013.872100
G. Wells, T. Hooijkaas, X. Shan. Modelling temperature effects on multiphase flow through porous media. Philosophical Magazine 88(28-29) DOI 10.1080/14786430802566364
K. Morgan, J. Peraire. Unstructured grid finite-element methods for fluid mechanics. Rep. Prog. Phys. 61(6) (1999) DOI 10.1088/0034-4885/61/6/001
F. Bombardelli, M. Cantero, M. Garcia, G. Buscaglia. Numerical aspects of the simulation of discontinuous saline underflows: the lock-exchange problem. Journal of Hydraulic Research 47(6) (2010) DOI 10.3826/jhr.2009.3238
E. Burman, A. Ern. The discrete maximum principle for stabilized finite element methods. DOI 10.1007/978-88-470-2089-4_52
J. Jadidian, M. Zahn, N. Lavesson, O. Widlund, K. Borg. Stochastic and deterministic causes of streamer branching in liquid dielectrics. Journal of Applied Physics 114(6) DOI 10.1063/1.4816091
H. YOSHIMATSU, A. WAKAI, H. MARUI, T. KANNO. Estimation of landslide debris runout distance by stabilized finite element method considering failure condition of earth mass. Journal of the Japan Landslide Society 49(6) DOI 10.3313/jls.49.313
N. Vasilakis, T. Prodromakis, D. Moschou. Computationally efficient concentration-based model for accurate evaluation of T-junction inlet staggered herringbone micromixers. 11(5) DOI 10.1049/mnl.2015.0239
M. Jensen, I. Smears. On the Convergence of Finite Element Methods for Hamilton--Jacobi--Bellman Equations. SIAM J. Numer. Anal. 51(1) DOI 10.1137/110856198
A. Ern, J. Guermond. Weighting the Edge Stabilization. SIAM J. Numer. Anal. 51(3) DOI 10.1137/120867482
S. Badia, A. Hierro. On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems. SIAM J. Sci. Comput. 36(6) DOI 10.1137/130927206
T. Rebollo, D. Yakoubi. A three-dimensional model for two coupled turbulent fluids: numerical analysis of a finite element approximation. 38(4) (2017) DOI 10.1093/imanum/drx049
R. Codina, J. Baiges. Approximate imposition of boundary conditions in immersed boundary methods. Int. J. Numer. Meth. Engng 80(11) DOI 10.1002/nme.2662
T. Knopp, G. Lube, G. Rapin. Stabilized FEM with shock-capturing for advection-diffusion problems. Z. angew. Math. Mech. 81(S3) (2011) DOI 10.1002/zamm.200108115156
J. Jadidian, M. Zahn, N. Lavesson, O. Widlund, K. Borg. Impulse breakdown delay in liquid dielectrics. Appl. Phys. Lett. 100(19) DOI 10.1063/1.4716464
E. Oñate, J. García-Espinosa, S. Idelsohn, B. Serván-Camas. Ship Hydrodynamics. (2017) DOI 10.1002/9781119176817.ecm2070
P. Salgado Sánchez, V. Yasnou, Y. Gaponenko, A. Mialdun, J. Porter, V. Shevtsova. Interfacial phenomena in immiscible liquids subjected to vibrations in microgravity. J. Fluid Mech. 865 (2019) DOI 10.1017/jfm.2019.88
J. Dehghannya, M. Ngadi, C. Vigneault. Simultaneous Aerodynamic and Thermal Analysis during Cooling of Stacked Spheres inside Ventilated Packages. Chem. Eng. Technol. 31(11) DOI 10.1002/ceat.200800290
C. Álvarez H., A. Coutinho. Cálculo de la función distancia para el método Level Set usando la formulación estabilizada USFEM/Rothe. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 29(4) DOI 10.1016/j.rimni.2013.07.002
P. Sváček. On Numerical Simulation of an Aeroelastic Problem Nearby the Flutter Boundary. (2009) DOI 10.1007/978-3-642-00605-0_21
M. Vázquez, R. Arís, G. Houzeaux, R. Aubry, P. Villar, J. Garcia-Barnés, D. Gil, F. Carreras. A massively parallel computational electrophysiology model of the heart. Int. J. Numer. Meth. Biomed. Engng. 27(12) (2011) DOI 10.1002/cnm.1443
S. Alakhramsing, R. van Ostayen, R. Eling. Thermo-Hydrodynamic Analysis of a Plain Journal Bearing on the Basis of a New Mass Conserving Cavitation Algorithm. Lubricants 3(2) (2015) DOI 10.3390/lubricants3020256
P. Salgado Sánchez, Y. Gaponenko, J. Porter, V. Shevtsova. Finite-size effects on pattern selection in immiscible fluids subjected to horizontal vibrations in weightlessness. Phys. Rev. E 99(4) (2019) DOI 10.1103/physreve.99.042803
S. Alakhramsing, M. de Rooij, D. Schipper, M. van Drogen. Elastohydrodynamic lubrication of coated finite line contacts. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 232(9) (2017) DOI 10.1177/1350650117705037
P. Sváček. On several aspects of finite element approximations of laminar/turbulent transition models. EPJ Web of Conferences 67 (2014) DOI 10.1051/epjconf/20146702113
G. Barrenechea, V. John, P. Knobloch. A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations. ESAIM: M2AN 47(5) (2013) DOI 10.1051/m2an/2013071
P. Sváček, J. Horáček. Stabilized Finite Element Approximations of Flow Over a Self-Oscillating Airfoil. (2010) DOI 10.1007/978-3-642-11795-4_91
P. Lyra, K. Morgan. A review and comparative study of upwind biased schemes for compressible flow computation. Part I: 1—D first—order schemes. ARCO 7(1) DOI 10.1007/bf02736185
C. Bayona Roa, J. Baiges, R. Codina. Variational multi-scale finite element approximation of the compressible Navier-Stokes equations. Int Jnl of Num Meth for HFF 26(3/4) DOI 10.1108/hff-11-2015-0483
S. Phongthanapanich, P. Dechaumphai. An explicit characteristic finite volume element method for non-divergence free convection–diffusion-reaction equation. Int J Adv Eng Sci Appl Math 4(3) (2012) DOI 10.1007/s12572-012-0071-1
M. Feistauer, J. Horáček, P. Sváček. Numerical Simulation of Airfoil Vibrations Induced by Turbulent Flow. Commun. Comput. Phys. 17(1) (2014) DOI 10.4208/cicp.181213.230514a
G. Bugeda Miguel Cervera, G. Lombera. Numerical prediction of temperature and density distributions in selective laser sintering processes. Rapid Prototyping Journal 5(1) DOI 10.1108/13552549910251846
P. Dordizadeh, K. Adamiak, G. Peter Castle. Numerical investigation of the formation of Trichel pulses in a needle-plane geometry. J. Phys. D: Appl. Phys. 48(41) (2015) DOI 10.1088/0022-3727/48/41/415203
E. Dvorkin, M. Cavaliere, M. Goldschmit. A three field element via Augmented Lagrangian for modelling bulk metal forming processes. Computational Mechanics 17(1-2) DOI 10.1007/bf00356474
C. Yu, A. Deng, J. Ma, X. Cai, C. Wen. Semi-analytical solutions for two-dimensional convection–diffusion–reactive equations based on homotopy analysis method. Environ Sci Pollut Res 25(34) (2018) DOI 10.1007/s11356-018-3433-9
S. Phongthanapanich, P. Dechaumphai. Explicit characteristic finite volume method for convection–diffusion equation on rectangular grids. Journal of the Chinese Institute of Engineers 34(2) DOI 10.1080/02533839.2011.565589
R. Juanes, T. Patzek. Multiscale-stabilized finite element methods for miscible and immiscible flow in porous media. Journal of Hydraulic Research 42(sup1) (2010) DOI 10.1080/00221680409500056
S. Pelletier. COMPUTATIONS OF MULTIPHASE FLOWS WITH SURFACE TENSION USING AN ADAPTIVE FINITE ELEMENT METHOD. Numerical Heat Transfer, Part A: Applications 40(4) DOI 10.1080/104077801753238149
F. Ilinca, D. Pelletier, F. Ilinca, D. Pelletier. A unified approach for adaptive solutions of compressible and incompressible flows. (2012) DOI 10.2514/6.1997-330
S. Dufour, D. Pelletier. Computations of multiphase flows with surface tension using adaptive finite element methods. (2012) DOI 10.2514/6.1999-544
S. Aliabadi, S. Tu, M. Watts. An Alternative to Limiter in Discontinous Galerrkin Finite Element Method for Simulation of Compressible Flows. (2012) DOI 10.2514/6.2004-76
A. Enders, I. Siller, K. Urmann, M. Hoffmann, J. Bahnemann. 3D Printed Microfluidic Mixers—A Comparative Study on Mixing Unit Performances. Small (2018) DOI 10.1002/smll.201804326
T. Chacón Rebollo, R. Lewandowski. Numerical Approximation of NS-TKE Model. (2014) DOI 10.1007/978-1-4939-0455-6_12
A. Zhu, Q. Xu, Z. Jiang. Characteristics Weak Galerkin Finite Element Methods for Convection-Dominated Diffusion Problems. Abstract and Applied Analysis 2014 DOI 10.1155/2014/102940
S. Phongthanapanich, P. Dechaumphai. Combined finite volume and finite element method for convection-diffusion-reaction equation. J Mech Sci Technol 23(3) (2009) DOI 10.1007/s12206-008-1204-0
R. Codina. Finite Element Approximation of the Convection-Diffusion Equation: Subgrid-Scale Spaces, Local Instabilities and Anisotropic Space-Time Discretizations. (2011) DOI 10.1007/978-3-642-19665-2_10
S. Marras, J. Kelly, M. Moragues, A. Müller, M. Kopera, M. Vázquez, F. Giraldo, G. Houzeaux, O. Jorba. A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin. Arch Computat Methods Eng 23(4) (2015) DOI 10.1007/s11831-015-9152-1
E. Oñate, A. Valls, J. García. FIC/FEM Formulation with Matrix Stabilizing Terms for Incompressible Flows at Low and High Reynolds Numbers. Comput Mech 38(4-5) (2006) DOI 10.1007/s00466-006-0060-y
M. Kouhi, E. Oñate. An implicit stabilized finite element method for the compressible Navier–Stokes equations using finite calculus. Comput Mech 56(1) (2015) DOI 10.1007/s00466-015-1161-2