cuwave
Single-GPU differentiable higher-order finite difference wave propagation code.
Install it with pip install cuwave
Computational Mechanics
We are the computational mechanics group at the Chair of Data Science in Civil Engineering, Bauhaus-Universität Weimar. We build numerical methods — and the code that runs them — for simulating and designing engineering structures.
Research areas
Discretization technologies Solving partial differential equations more efficiently.
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Generalized eigenvalue stabilization for immersed explicit dynamics
Restores usable explicit time steps on badly cut cells by stabilizing the governing eigenvalues.
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A CFL condition for the finite cell method
Derives the critical time step that explicit time integration must respect on immersed meshes.
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On the efficiency of explicit and semi-explicit immersed boundary finite element methods for wave propagation problems
Compares explicit and semi-explicit immersed schemes for transient wave problems.
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The discontinuous strain method: accurately representing fatigue and failure
Represents localized failure through a strain discontinuity instead of a smeared damage band.
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Implicit-explicit time integration for the immersed wave equation
Treats only the small cut cells implicitly, keeping the bulk of the mesh explicit and cheap.
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From ductile damage to unilateral contact via a point-wise implicit discontinuity
Carries ductile damage through to crack closure and contact within a single formulation.
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Efficient multi-level hp-finite elements in arbitrary dimensions
The data structures and algorithms behind multi-level hp-refinement in any dimension.
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Competition between arbitrarily oriented tunnel cracks and delamination
Predicts which damage mode wins as tunnel cracks and delamination compete in laminates.
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An efficient stiffness degradation model for layered composites with arbitrarily oriented tunneling and delamination cracks
A cheap model for how cracking degrades laminate stiffness, without resolving every crack.
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A special finite element method applied to off-axis tunnel cracking in laminates
A tailored 2D element that captures three-dimensional off-axis tunnel cracks.
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The influence of the fiber–matrix microstructure on the energy release rate of off-axis tunnel cracks in laminates
Quantifies how fiber arrangement at the microscale changes crack driving forces.
Inverse problems & optimization Finding unseen or optimal structures.
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A memory-efficient adjoint method to enable billion parameter optimization on a single GPU in dynamic problems
Removes the memory wall of transient adjoints, putting billion-parameter designs on one GPU.
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Isogeometric multi-resolution full waveform inversion based on the finite cell method
Reconstructs geometry at several resolutions by combining splines with the finite cell method.
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Immersed boundary parametrizations for full waveform inversion
Compares ways of parametrizing an unknown boundary when inverting wave measurements.
Additive manufacturing Certifying and improving 3D printing technologies.
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Temperature control in powder bed fusion of metals via inverse-designed laser beam shapes
Designs the beam profile itself so that the melt pool follows a prescribed temperature field.
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Quantifying thermal model accuracy in PBF-LB/M using statistical similarity tests against thermographic measurements
Measures how well thermal simulations match thermography, using statistical similarity tests.
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The trace of heat: on the predictive power of modeling transient diffusion
Asks how much of the printed outcome a purely thermal model can actually predict.
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Validity of thermal simulation models for different laser beam shapes in bead-on-plate melting
Tests thermal models against bead-on-plate experiments across a range of beam shapes.
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Laser beam shape optimization in powder bed fusion of metals
Optimizes the laser intensity distribution to improve melt pool geometry.
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Space-time hp-finite elements for heat evolution in laser powder bed fusion additive manufacturing
Resolves the moving heat source by refining in space and time at once.
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On accurate time integration for temperature evolutions in additive manufacturing
Examines what time integration accuracy is needed for reliable process temperatures.
Scientific machine learning Accelerating and improving simulations with modern AI methods.
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Lightweight return-mapping surrogates for multiscale plasticity: a practical guide
Replaces the return-mapping step of plasticity with small, reliable learned surrogates.
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Graph neural networks for full waveform inversion
Learns on the mesh graph to invert wave measurements for unknown material fields.
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Accelerating full waveform inversion by transfer learning
Reuses networks trained on earlier reconstructions to shorten new inversions.
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Deep learning in computational mechanics: a review
A methodological survey of where deep learning has, and has not, proven useful in mechanics.
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Generative adversarial networks enable outlier detection and property monitoring for additive manufacturing of complex structures
Flags anomalous prints and tracks properties from process data using a GAN.
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On neural networks for generating better local optima in topology optimization
Uses a neural reparametrization of the design field to escape poor local optima.
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On the use of neural networks for full waveform inversion
Discovers neural reparametrizations for regularization in inverse problems.
Software
deep-learning-in-computational-mechanics
Exercises and reference implementations accompanying our introductory course and textbook on deep learning for mechanics.
mlhp
Efficient multi-level hp- and other finite element methods in arbitrary dimensions.
Install it with pip install mlhp
neuralmech
A collection of machine learning enhanced physics solvers and optimizers, answering when and where deep learning is useful in numerical simulation.
pbf
Convenient thermomechanical simulation of powder bed fusion additive manufacturing processes.
Install it with pip install pbf
Publications
The research areas above list some of our published journal articles. The complete list is maintained on the chair's publication page.