Hierarchy in wiki:

Graphics Wiki

Simulation

Common methods:

Note: A bullet point with multiple papers is a paper bundle that needs to be presented in one presentation.

Optimization-based Time Integration

Projective dynamics: Fusing constraint projections for fast simulation (2014)
Optimization Integrator for Large Time Steps (2015)
XPBD: Position-Based Simulation of Compliant Constrained Dynamics (2016)
ADMM ⊇ Projective Dynamics: Fast Simulation of Hyperelastic Models with Dynamic Constraints (2017)
Quasi-newton methods for real-time simulation of hyperelastic materials (2017)
A GPU-Based Multilevel Additive Schwarz Preconditioner for Cloth and Deformable Body Simulation (2022)
Second-order Stencil Descent for Interior-point Hyperelasticity (2023)

(Adaptive) Spatial Discretization

Eulerian solid simulation with contact (2011)
A material point method for snow simulation (2013)
Reformulating Hyperelastic Materials with Peridynamic Modeling (2018)
Hybrid grains: Adaptive coupling of discrete and continuum simulations of granular media (2018)
Fast Corotated Elastic SPH Solids with Implicit Zero-Energy Mode Control (2021)
Surface-Only Dynamic Deformables using a Boundary Element Method (2022)
Multi-Layer Thick Shells (2023)
High-Order Incremental Potential Contact for Elastodynamic Simulation on Curved Meshes (2023)
Adaptive Anisotropic Remeshing for Cloth Simulation (2012)

Contact and Friction

Robust treatment of collisions, contact and friction for cloth animation (2002)
Asynchronous contact mechanics (2009)
Efficient and Accurate Collision Response for Elastically Deformable Models (2019)
Non-smooth Newton Methods for Deformable Multi-body Dynamics (2019)
Incremental Potential Contact: Intersection- and Inversion-free, Large-Deformation Dynamics (2020), Codimensional incremental potential contact (2021)
Augmented Incremental Potential Contact for Sticky Interactions (2023)
Efficient BVH-based Collision Detection Scheme with Ordering and Restructuring (2018)
A Large Scale Benchmark and an Inclusion-Based Algorithm for Continuous Collision Detection (2021)

Inversion-Robust Elasticity, Anisotropic Elasticity

Stable Neo-Hookean Flesh Simulation (2018), Analytic Eigensystems for Isotropic Distortion Energies (2019)
Stable anisotropic materials (2015)
Anisotropic elasticity for inversion-safety and element rehabilitation (2019)
Botanical materials based on biomechanics (2017)

Spatial Reduction

Discrete shells (2003), Discrete elastic rods (2008)
Efficient and Stable Simulation of Inextensible Cosserat Rods by a Compact Representation (2022)
Adaptive merging for rigid body simulation (2020)
A Unified Newton Barrier Method for Multibody Dynamics (2022)
Pose Space Deformation: A Unified Approach to Shape Interpolation and Skeleton-Driven Deformation (2000)
Real-time subspace integration for St. Venant-Kirchhoff deformable models (2005)
Optimizing Cubature for Efficient Integration of Subspace Deformations (2008)
Real-time large-deformation substructuring (2011)
Latent-space Dynamics for Reduced Deformable Simulation (2019)
Medial IPC: Accelerated Incremental Potential Contact With Medial Elastics (2021)
Model Reduction for the Material Point Method via an Implicit Neural Representation of the Deformation map (2023)
Homogenized Yarn-Level Cloth (2020)

Fluids

Implicit incompressible SPH (2013), Divergence-free smoothed particle hydrodynamics (2015)
Surface-Only Liquids (2016)
Efficient and Conservative Fluids Using Bidirectional Mapping (2019)
Kinetic-based Multiphase Flow Simulation (2020)
A Large-Scale Benchmark for the Incompressible Navier-Stokes Equations (2021)
The power particle-in-cell method (2022)
A Monte Carlo Method for Fluid Simulation (2022)
Fluid Cohomology (2023)
PolyStokes: A Polynomial Model Reduction Method for Viscous Fluid Simulation (2023)

Solid-Fluid Coupling

A Fast Variational Framework for Accurate Solid-Fluid Coupling (2007)
A Multi-Scale Model for Simulating Liquid-Hair Interactions (2017)
An Efficient B-Spline Lagrangian/Eulerian Method for Compressible Flow, Shock Waves, and Fracturing Solids (2022)
A Contact Proxy Splitting Method for Lagrangian Solid-Fluid Coupling (2023)

High-Performance Simulation

Simulation Applications

Design and fabrication of materials with desired deformation behavior (2010)
FoldSketch: Enriching Garments with Physically Reproducible Folds (2018)
Two-Scale Topology Optimization with Microstructures (2018)
Fluid Directed Rigid Body Control using Deep Reinforcement Learning (2018)
ChainQueen: A Real-Time Differentiable Physical Simulator for Soft Robotics (2019)
Guaranteed Globally Injective 3D Deformation Processing (2021)
Deep Physics-aware Inference of Cloth Deformation for Monocular Human Performance Capture (2021)
Differentiable solver for time-dependent deformation problems with contact (2022)